I will try to write as scientifically as possible. Take, for example, X people. Gene mutations, the emergence of new species, is all the result of evolution, as is often said in the comic book series itself. Yes, only evolutionary processes create species with the same characteristics, but here everyone has their own abilities. It is also worth noting that evolutionary processes arise mainly due to adaptation to changing environmental conditions. What conditions can force a person to control the weather or shoot streams of energy from their eyes is unclear. Of all the X-Men, the most likely existence is such as a mystic (sort of like accelerated mimicry) and one of the mutants, adapting in seconds to changing conditions (in which, after immersing his head in an aquarium, gills grew, it seems, it was in X-men: the first class). The rest of the abilities are not scientifically substantiated in any way and such mutations of the human body are impossible for no reason.
The question is too broad, because superheroes have completely different abilities, some technological, some biological, some generally magical, some of them are relatively and conditionally feasible, others are theoretically possible in the future, others (at least at this stage of human development) seem absolutely unrealistic.
Obviously, the most realistic are those superheroes whose main strength in technology is still genetic engineering, for example, the level of development now cannot be compared with technology.
The same Batman - in many ways his existence is conditionally real. It's another matter that it is conditional - because what the laws of physics and nature permit are prohibited by the laws of life and logic. There are enough billionaires in the world, enough geniuses, there are skilled detectives, there are trained special forces, there are high-quality engineers, snipers, hand-to-hand combatants, people with outstanding physical shape and gorgeous genetics, flexible minds and multifaceted education, but it is absolutely unrealistic for all this to be combined in one person who, at the same time, will also have the desire and motivation to devote his life to the fight against crime. That is, in general, none of the qualities of Batman is downright unique (although all of them are difficult to achieve), but the probability of their combination in one person tends to zero. As for Batman's gadgets - of course, they are not 100% real (it would be strange to see full technological realism in superhero read / movie), but many things do exist, many have slightly less cool prototypes in the special forces of different countries, and for sure we don't know about many of the secret weapons (that's why they are secret), but Bruce Wayne could have acquired them if he wanted to.
Iron Man - I will skip repeating the previous paragraph about the combination of Batman's qualities (with that the only difference is that, against the background of Batman, Stark has slightly weaker physical and combat skills and slightly stronger engineering), - he and his suit, of course, are less realistic than many of Wayne's gadgets, but in general science is moving in this direction - exoskeletons exist and are developing, active progress is taking place in the field of artificial intelligence and artificial assistants (we can see Jarvis' likeness very soon), military suits are being modernized. The hardest part there is the part with such cool flights, in principle they are real, but not in the foreseeable future. Although in science, all the more so rapidly developing as it is now, you can never think ahead.
As for guys like Cap - genetic engineering, biotechnology, neuroengineering and all the sciences of this direction, which predict the most active development in the foreseeable future and which, along with the development of artificial intelligence, are considered almost the main directions of the 21st century, they may well bring us closer to the creation of such genetically modified super-soldiers without any specific mutations (a la shooting a laser from the eyes ormetal control), but with physical qualities developed beyond the human limit.
And there, what the hell is not joking, maybe it will reach specific skills, but this is a matter of too distant days, and now it is impossible to guess.
I just looked at the list of people on purpose.
Most of the superpowers are simply impossible: telekinesis, mind control, throwing plasma, passing through walls and other violation of fundamental laws of physics. No. There is no such thing right away.
Further, another layer of heroes: superhuman strength, agility, reflexes, speed and endurance. Here, to a certain extent, yes. But, of course, not to the same extent as shown in the comics. Again, physics is heartless and if a superhero with super strength and a weight of 60 kilos kicks a car weighing a ton, physics will not be on his side: the action is equal to the reaction, that's all, he will fly away, not the car. He is also unlikely to be able to lift it above his head, the skeleton and joints have a certain strength.
Super reflexes can be, yes. But of course, there can be no talk of any bullet evasion. Even cutting the reaction time in half would not even come close.
Super stamina - well, yes. Superpower and speed require a lot of energy. So this is a prerequisite for such a superhero.
The simplest is cat's vision. If cats can, then it can be attached to people, why not? In general, perhaps even an eye that sees in the near-IR and UV ranges is possible, but hardly more (and yes, going to discos with UV vision will be quite dull).
Regeneration is ambiguous. No, it doesn't even smell like Deadpool (if you cut it in half, we will have two Deadpools? And if you blow it up into a thousand small deadpool?), But to a certain extent, regeneration is possible: the lizards are growing their tails.
In general, the answer is no, you can't. Superpowers from comics are many orders of magnitude superior to the constructive limitations of the human body.