It cannot exist with a species like ours that is hardwired for greediness and self-preservation.

In general this is a myth, being a self interested economic agent is something we’re trained to conform to, not something we do instinctually. Which isn’t to say we are naturally suited for large scale cooperation, but what the Hobbesian perspective misses is that whatever behavior you’re assuming is human nature has a context, and that context could be made very different.