Video game music is a big deal, given the size of the game market out there (I think it is around 20 billion a year or so). I suspect there are people coming to it from all angles, Michael Giaccino, the film score composer, got his start doing video game music, and I believe he took some night classes at Juilliard and maybe SVA at NYC (I don’t recall).
I believe there are some programs specifically in video game music, but I think it is one of those things you don’t necessarily have to major it in to be successful, among other things given the fact it is a very new major and there aren’t going to be many programs, this is something where someone likely could have many paths to get to it:)