If you mean ship it to yourself, yes Bell Services will deliver it to your room and they do expect a tip.
If you mean buy it in the resort store, no they don't deliver to rooms and no they don't have carts that I am aware of
If you are unable to take it to your room,I'm sure Bell Services or Luggage Assistance(Value Resorts) would take if for you(remember to tip) or possibly even one of the Merch Shop CMs would take it for you-Disney would "work" with you.
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