If the AI is really AGI it could presumably do it. But not even the whole human society can do it in one go, it's a slow iterative process of ideation and validation. Even though this is a life and death matter, we can't simply solve it.
This is why AGI won't look like we expect, it will be a continuation of how societies solve problems. Intelligence of a single AI in isolation is not comparable to that of societies of agents with diverse real world interactions.