no, you have to find every piece of trash can or bottle on the map every morning for a chance at finishing this game

You *get to* pick up trash as a hobocop. It's a feature.

But yeah no, you can make it through this game without ever picking up that yellow bag. You just need to get your money some other way. Pawn shop. Evrart. Joyce. Kim. Save 20 Real for the second night and you're set for the rest of the game.