Deliberately - no. But the smell of a person is transmitted to his personal belongings, for example, a pillow. It is possible to catch your scent by sniffing your hair or clothes. And often the "strong" smell of some people is transmitted even to their entire apartment, perhaps you noticed this among friends.
I managed to smell my own smell, but only using the above actions.
Hypothetically, of course, anything is possible. What is in reality?
Physiology tells us that a person, in comparison with other animals (with the same dog, for example), is significantly deprived of the number of olfactory receptors, their sensitivity and the area occupied by them in the nasal mucosa. In our daily life, a great many different smells sweep past us. Have you forgotten about the limited number of receptors and the same small area of their "habitat"? So, that is why our brain prefers to attribute some of the smells to the unconscious, i.e. to those that we, as it were, do not feel - all this is for your good, by the way, so as not to overload the olfactory receptors.
Why is the smell of our own body ignored? Turning to the theory of evolution, one can easily give an answer. One of the functions of smell in the animal kingdom is a signal one, for example, to inform about danger, if something happens. Will the person pose a threat to himself? Healthy - no. However (!) As soon as the body odor changes, you will immediately feel it thanks to the same function of your sense of smell. An elementary example - the smell of sweat - is it not a natural aroma?
And finally, why, for example, experienced smokers do not smell cigarette smoke from their own things? Or why are Antwerp residents not particularly sensitive to the aromas from the chocolate factories in the city center? All of them, faced with certain smells every day, just got used to them.
As a result, it turns out that it is extremely difficult for a person to smell his natural smell, if possible.