If there truly are things that are so deeply ingrained genetically / physiologically as to make it impossible to overcome them in this life, those things are covered in the Atonement through God's grace. Being "punished for own sins, not Adam's transgression" covers the unchosen effects of Adam's transgression on all his posterity - or it would have no real power.
I don't know for sure if there are genetic tendencies that are so strong that they truly cannot be overcome by a particular individual, but I suspect there are such constraints for nearly all of us - if not all. Isn't that the whole point of grace - forgiveness of those things that are outside of our control that otherwise, according to a strict Law of Moses application, would condemn us?
40 minutes ago