I'm not sure OP ever intends to need this info... but just in case it's helpful for OP or anyone else:
You can have Turner Drugs deliver a prescription to you at a WDW resort. It will not be free, and it is not at the resort. You would need to contact your prescriber to call in an emergency supply, and you will have to pay whatever financial obligation your insurance requires (possibly paying upfront and filing for reimbursement). You can also Uber/Lyft/taxi to a different local drug store of your preference (CVS, Walgreens, etc.) instead of delivery from Turner Drugs.
Enjoy your vacation!