Yes money is always necessary because the population can grow faster than the economy. If food is free and housing is free then people are running around having 10 kids like psychos. There must always be a reputation system in place to make sure a person or family can't endlessly drain the system. We could invent a more elegant and complicated reputation system that replaces money, but economics have shown that the simplest solution is often the best.

The only way money stops making sense is if the economy stops making sense: meaning everyone can directly produce every product they need without getting help from someone else. In essence everyone would have their own robot army that does everything for them... which is possible but just weird to think about. We'd have to colonize dozens of planets by then and would almost certainly be introduced to extraterrestrial life, which is a whole other thing.