The Quirk Hero

What if Izuku Midoriya wasn't born quirkless, and instead had an evolved version of All For One that could create and destroy quirks? Once he finds out he has it, he also finds out he can't properly control it until he's 13, which results in him giving his two childhood friends some quirks, and giving himself a few as well. But anything that happens before he can control it is permanent, so his father suppresses the quirk until he turns 16. When Izuku goes to the UA entrance exam, he sees a strange boy under a tree, a boy that makes UA history when Aizawa makes him the 21st student of Class 1-A, but since there aren't enough rooms in the 1-A dorms, the new boy must live in the 1-B dorms, and is the roommate of a certain orange-haired girl...