No they do not have a "food court", if by that you are thinking along the lines of what the value resorts have, or even a moderate.
Deluxes do not have large food courts. They normally have a smaller counter service location, and one or more table service restaurants.
Specifically, the Beach Club has the Marketplace store/counter service - selections are fairly limited.
The Boardwalk has the Boardwalk Bakery on the Boardwalk (so not IN the resort itself, but close) and also has the Bellevue Lounge where I believe they serve continental breakfast in the mornings, and drinks later.
This does not address the table service locations in the general area or in the resort and there are multiple table service places.