As far as I remember most characters in My Hero Academia can't fly. I suppose some might be able to do it, but as far as I remember I've only seen a Noumu with wings or Ectoplasm "ghosts" flying. Which characters in My Hero Academia can fly?
Aside from him a hero with wings called Hawks appeared in chapter 184 (the latest chapter as of now). We can assume from his name and appereance that he's able to fly, but we haven't seen him in action yet.
We've also seen a kid with big red demonic wings in a flashback, but we don't know anything about him.