Nope.
Currently no terrain ever recovers from its state.
It wouldn’t be very hard to write some sort of natural regrowth kind of a thing, but the problem with trees is that they don’t just randomly in the fields, so there must be some way to tell if a given spot should be considered for tree regrowth.
The easiest way to do that would be to have a note which kind of overmap terrain supports which kinds of plants and try to regrow those.
Also, young trees maturing isn’t exactly trivial either, as terrain (tree is a terrain) doesn’t store any information other than what type it is.