but if the island originally had enough resources to produce a seafaring vessel, but due to the mismanagement, they failed to save and invest enough, and finally squandered so much that there's not enough left to build one, then they're stuck on the island until everything runs out.

So do we have, today, enough resources on earth extract resources away from the island called earth? What if we run out of petroleum before we built enough rockets and launch systems and fuel?