The QS places in the parks are largely unequipped to handle a true "to-go" order. You can cover your plates with napkins and stick them in plastic bags (which may or may not be available from the counter), yes, but they will not be pre-boxed or packaged. Condiments may or may not be available in individual packets - for example, some places only offer ketchup from a dispenser, not in individual packets.
The QS in the resorts have plate covers/boxes and are accustomed to handling "to-go" requests.