congenital, inborn, innate

from The Collaborative International Dictionary of English v.0.48

noninheritable \noninheritable\ adj.
   not capable of transmission by heredity. Opposite of
   {inheritable}. [Narrower terms: {acquired, nurtural};
   {congenital, inborn, innate}]

   Syn: nonheritable, nonhereditary, nontransmissible.
        [WordNet 1.5]