No.

I'll avoid going into what segregation means two separate worlds and "knowing your place". This means you really don't want to be curious.

If you truly want to eat or try the food you might go to the back door of the kitchen and pay one of the black kitchen staff to bring you some. Most likely waste as like a restaurant now inventory and loss control is serious. Getting caught for the staff means getting fired. Delivery services were very rare and didn't really come wide spread until the 70s with pizza deliveries and Chinese in big cities.