They may be able to do some things like make an image which looks sort of like the thing it's supposed to be, but not being actually intelligent, they can't write. That's something you can't do with statistics, you need actual thoughts and feelings to convey.
If we do ever make artificial intelligence and it wants to write, it's writings will likely be of no interest to anyone anyway, (outside of academic interest or a few weirdos,) what humans write and are interested in is mostly driven by things related to having organic bodies. A real AI is not going to be writing about things like sex, it's going to write about things relevant to itself.
It's not exactly like training a person, because human brains and computers are different, additionally a human looking at art is generally what the art is for and the human getting greater understanding of art at the same time is a bit of a side-effect.
That said, it's not exactly like making a copy either. It's generally undefined in legal terms, because laws have been written on the assumption that a person looking at it or some kind of literal copying procedure are the only important things which are done with art, but it exists in a space somewhere in between the two, having elements of both.
"The pyramid is opening!" "Which one?" "The one with the ever-widening hole in it!" -- The Firesign Theatre