I'm going to say "probably". You also have the option of renting with Alamo/National. They're located at the car care center on Disney property and will shuttle to/from your hotel.
Avis has a location at the Hilton that is just across the street from DTD. They will also send a courtesy car to get you at your WDW hotel if you call.
There is also an Alamo/ National location at the Dolphin Hotel. And a Dollar Rental location at the Regal Sun Resort across the street from Downtown Disney, on Hotel Plaza Blvd.
I have always gotten the best rates from Alamo or Dollar, but for only one day it's probably not that big of a deal.
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