Can you get back to the original state of the levels?

I'd like to play again some moons, things like when the Desert was frozen over, or New Donk City at night. They were great to play setpieces.

But do I have to play the game again from the start to see them again? or is there a way to trigger a rerun of the original state of the level?

As of right now there is no way to do this. I've beaten the game, each world in it, and completed several (some coins, some moons, some both). There does not seem to be any hidden options or NPCs that would trigger something like this.

The only thing that fits this criteria is replaying the Festival in New Donk City, but that's only allowed because there are moons hidden in it, so this prevents you from permanently missing them.