As far as I know, mantras, if you exclude a purely religious component, are one of the types of meditation. Someone prefers to sit on their knees or in the lotus position and not think about anything, while others prefer to combine it with "Om Mani Padme Hum" or "Hari Krishna".
Does meditation help - the question already more complicated. I am convinced that practice (again, omitting theological disagreements) is rather beneficial. People who practice it often say that regular meditations help put thoughts in order, pull yourself together, become more organized, self-confident, improve your general condition, monitor your mood, fight anger, and so on - in general, that's it. which is usually inherent in any good deliberate psychological training.
You can try, but it must be borne in mind that this whole thing requires regularity, and, therefore, some concentration.
And finally: I am also deeply convinced that any person, regardless of religion, even an Orthodox Christian, can practice meditation as a psychological practice, although some of our priests strongly disagree with this.
Pronunciation of mantras helps me a lot! With the help of them, it is possible to enter a state in which one can feel unity with the world, with space, with the spirit ... Simple words can also serve as a mantra - the main thing is to read them consciously and energetically, putting a certain meaning.