Well, yes. But that could only provide for a tiny amount of goods - at least if theco-op doesn't want to live in a primitivist hell.

There could be coops around the world that trade with each other to get everything they need?

Yes, if we agree on a primitivist definition of "everything they need", which most likely includes food, shelter entertainment and some artwork - perhaps even basic medicine. But no electric energy, electronics, cars, farm machinery, refrigerators, antibiotics and so on. Building this stuff requires massive amounts of capital.