At Enid where we camped, they have a sign that says additional tents are 13 dollars a day. So I would assume you could. If they wouldn't let you put one up by itself all you would have to do is set up with someone who has a camper and pay the extra. Yes water,sewage and electric.
Nice big tent, put a rain fly over it, electric heater and a couple of good cots should be good to go.