Sort of. They did take a deposit but that had been based on the assumption that the Falcon Heavy would do the flight with a Crew Dragon. Those plans have been cancelled as SpaceX no longer plans to use the FH for human flights to the moon (or anywhere, even orbit).
Instead they plan on using the BFR for that. I don't know what happens with that deposit that was made. Chances are it rolls over into getting whoever it was a flight on the BFR to the moon.