Hi Eva,
I will sound probably really banal, but there is nothing impossible. I am finishing this year my BA in Photography and Media arts, all I know (technical skills) I learned by myself, but the university changed the way I think about image, frame and viewer. It is same here, someone really talented can do it by himself, as myself i would recommend to go to university/ film school.
It really matters where, because not all the schools have same contacts, and while you studying you want to make some good contacts and show yourself.