Lots of games have you start with nothing. This could be anything from mario to fallout to minecraft. "Start with nothing" isn't a theme, it's a condition.
Anyways, as for my game idea, I'm thinking of doing a roguelike. Permadeath means every playthrough you start with nothing. I'll try to add another twist to enhance the "theme", and for my #eggcrew bros out there I'm gonna work an egg into the game.
But first I gotta do my homework lol. Applied Combinatorics, then game dev
Edit: Another idea I got is rags to riches, like some kinda business simulator where you start with nothing and work your way towards becoming a mogul. If anyone wants this idea it's yours.