Speculating about the disappearance of money would be like speculating about disappearance of a thermomether. Even if every specimen were to be destroyed, someone would reinvent it.

Even if all basic needs are to be taken care of, somebody would always come up with something more. Other people would naturally want it. That would quickly lead to a realization that there is something like a value, and also a need to measure it somehow.

Could be pieces of seashells we exchange directly, or a massive database of who makes what for whom, but the result is the same.