Hi there, Sandy!
What a great idea for an extra surprise!
While you cannot shop the Disney Store and have a gift delivered on the same day, you can certainly make a purchase at one of the Disney Parks and have it delivered to your Resort.
The package delivery service will not bring a gift to your room, but to the front desk. Perhaps you can have a note typed up from "Santa," indicating that something has been left for the recipient?
You can also purchase a gift in advance and have it shipped to your Resort in advance of your visit. On the shipping label, make sure to include your name, your date of arrival, and your confirmation number for added security.
Finally, take a look at the offerings from the Disney Dream Makers at
Disney Floral and Gifts. This is one service that can definitely deliver to your room. Check out their beautiful creations, or give them a ring at (407) WDW-GIFT.
Happy holidays!
See you later, celebrator,
-Deborah B.