I came up with this idea while re-watching the season 2 outro of bnha.
So Izuku, Shoto, and Katsuki are born quirkless.
Their mothers took them all on a personal cruise to an island not far from Japan, as something to cheer the boys up.
The three boys wander around the island, which is huge, and end up being lost.
Katsuki tries to lead the way, but they all end up tripping and falling down a hill, hitting rocks and branches on their way down, making them forget everything except who they are, and their age.
Their mothers died, from a villian who stole their quirk, who happened to sneak onto the boat back in japan.
He escapes, not knowing there are children.
They have their own language, and are the most feared creatures on that island, for it was huge, with many lifeforms living easily, striving on other animals, the river water, and berrys.
They three are now 15, and something is about to change their free-style lives forever.
"ᴛʜᴇ ᴡᴀᴛᴇʀ ʜᴇᴀʀꜱ ᴀɴᴅ ᴜɴᴅᴇʀꜱᴛᴀɴᴅꜱ. ᴛʜᴇ ɪᴄᴇ ᴅᴏᴇꜱ ɴᴏᴛ ꜰᴏʀɢɪᴠᴇ."
Most would say that your quirk manifested in a rather unusual way. In an environment filled with stress, it manifested on its own before lives were lost. Water manipulation.
A boy, no older than four, vanished beneath the surface of the sea without anyone seeing - all until the sea parted and he coughed up water in the dry sand.
Named a hero, written about in hundreds of papers, you became the nation's treasure overnight - for saving Endeavor's youngest son.