Over the course of mid- to late-December (amidst The Most Dangerous Game vibes) Midoriya would just ring/text and leave small things from Patisserie Lysitherie at doors like a shy cryptid. He's trying to cheer up people because November was a lot, but he also doesn't want to get caught in a fight. /looks at my rp track record and sweats

Midoriya doesn't know where a lot of people live, and he's not the kind to pry. Many folks won't receive something in time for any holiday, whoops! He didn't know people did holidays other than New Years here, and he's not sure who celebrates what. Some may end up receiving cookies/satsumas/whatever next time they see him in January. (Do oranges exist here?)

THAT BEING SAID, he would absolutely be Santa Deku if someone can't deliver a present themselves. He's no Iida, but he's still pretty fast!