Super human is science fiction, so no.
Mutant on the other hand, yes, genetic mutation exist frequently, in prior to the twenty century in Europe, mutants are frequently been treated as freaks and discriminated against, in the same manner as black people and muslim are been discriminated today, but the discrimination mutants face were frequently more horrible then blacks and muslim.
The most famous mutant the world ever seen, is an American man, who has as much hair as a monkey and were frequently mistaken to be an ape, by those who don't know. His children on the other hand did not inhereited his mutated genes and look like any ordinary human.
Although if you are talking about the sort of mutant you see on X man, then No, that is plan science fiction. No real life mutant have that sort of power. Real life mutant might for example, have hands that look different from us, have more fur then us, born with no arms, born with more fingers and toes, those are the ultimate difference