No that costs extra. I believe it is $5.99. I think it is well worth getting it once. DS got Capt Hook and DD got Tink. The cups are really durable. I put ours in the dishwasher almost daily.
I can confirm that at Whispering Canyon and 1900 Park Faire the Pirate's Punch is NOT included in the DDP. The drink purchase must be paid seperately. Our girls got the drinks at each restaurant and we paid cash for the drinks.
If your child likes the pirate's punch, you can order it without the cup and light. It then is included in your DDP. We did this after they had both lights. The restaurant they included the cost without the cup/light was Chef Mickeys.