You should check out Ursula K Leguin's sci-fi novel The Dispossessed. It explores a society that has no concept of ownership at all, and the good and bad that comes with that. It's really really good.

But the whole idea that profit/private property is inherently theft is a major tenant of Marxist theory as far as I understand it, so you saying

I wonder if anyone has ever thought of something like that before.

Is funny because people have been trying to think of solutions for the past ~150 years haha

Edit: behold my inability to sense irony lmaoo