This story has been adopted by @I_was_dead_all_along

In a world we're deku has a quirk that's Deadpool's power

14 year old Izuku Midoriya was born with a quirk called "The Bond Phenomenon" which allows him to copy the quirk of anyone he's friends with. When he gets One For All, his quirk mutates with One For All, and becomes a much more powerful quirk: Battle Bond.