A Stitch in Time: Becoming Apollo (MHA Fanfic)

In a twist of fate during a work-study raid, Izuku Midoriya gets hit with a quirk on trigger and gets sent 14 years into the past. With the help of Nedzu, he gets bumped up to class 2-A in the hero course where he ends up meeting both new and old faces, making his own mark in the past he is now stuck in. How will our hero decide to go through his new life? Will he decide to let events play out? Or will he step in to change the course of history itself?

Or:

Izuku gets hit with a time-traveling quirk and decides to make it the villain's problem now.

This is cross-posted on Ao3, I don't give permission for it to be posted anywhere else.