The answer generally is no. Anything converning reservations has to go through Dining Reservations. And if it has to do with allergies there is a special diets office at WDW.
And a lot depends on if you are trying to contact the Manager, the kitchen or the podium. You can try the Main Switchboard at 407-824-2222 but you will have to explain to the operator why you want to talk directly to the restaurant.