The Collaborative International Dictionary of English v.0.48:

nonhereditary \nonhereditary\ adj.
   Not inheritable through genetic transmission. Opposite of
   inheritable, and heritable. [Narrower terms: acquired,
   nurtural; congenital, inborn, innate ]

   Syn: nontransmissible, nonheritable, noninheritable.
        [WordNet 1.5] nonhierarchic

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]