Stuck Quirkless [bkdk]

Izuku never met All Might, he never fought that sludge monster for Bakugo, he never learned All Mights secret, and he was never given One for All.

He doesn't try for UA, knowing he doesn't have a sliver of a chance as a quirkless boy, instead going to one of the best schools for Academics in all of Japan due to his outstanding grades in middle school. Him and his mother move to an apartment much closer to the school, on the other side of the city and while there he meets a girl named Uraraka, who surprisingly treats him like an equal even if she has a quirk (at that a powerful one) and he doesn't. It's been two years since he's even heard the name Bakugo, what will happen when he seemingly jumps back into the boys life the second he lets his guard down?