The ship will not wait for you, unless there are many, many passengers, who are equally affected.
Flights by Celebrity can assist you in getting you to the first port to meet up with the ship. Assuming you are on the ascent that port would be Nassau and there would be no PVSA problems.
however, they do not guarantee that they will get you to the next port in time to meet the ship.
and you should be prepared for some out-of-pocket costs, which might be reimbursable you would be responsible for them in the meantime.