Long story short is no. The amount of time it would take to ready the deck would be too long if the aircraft had an emergency in progress.
If the carrier was at flight quarters, I would highly doubt that the Commanding Officer would risk the lives of his flight deck crew allowing some civilian to land on the deck. Not to mention the possibility of damaging numerous multiple-million dollar aircraft.
While I'll caveat my answer with, " never, say never" and it has happened once before, I highly doubt it would happen again.