I'm splitting up both "nature" and "nurture" into slightly less-broad categories. In the case of what you highlighted, yes.

For example, epigentics is sort of both "nature" and "nurture", in that you can pick up these traits, and pass them on/get them passed on.

They can also simply get picked up in a correlated manner between twins due to the shared womb environment even if those correlated epigenetic traits are completely different from those of the parents.