One for All isn't the only Quirk that can be passed on, and Izuku Midoriya isn't the only previously Quirkless person who will be attending UA.
Katsuo Takashi was just a Quirkless delinquent, able to get by with his keen observations and his ability to get down and dirty when needed.
He isn't hero material, nor does he believe he will ever be, but when he is suddenly given one of the world’s most powerful Quirks; being anything else really isn’t an option.
With grit, blood, and some good old fashioned hard work, Katsuo has made it into UA, but who would have thought class 1-A is a trouble magnet and the Quirk Katsuo was so graciously given has a history that runs deeper than he could ever imagine.
Deep enough for a particular century old villain to look his way.
He isn't a hero, at least not yet, but he will be damned if he doesn't give it his all. Because if Katsuo was anything, he was stubborn, and maybe that’s exactly what hero society needs.