Nope. Only the owner can check on availability and rent you the points. Even if you could check, an hour later there might be nothing open (I've had it happen to me!). Once they make the ressie in your name, the owner will get a confirmation number they can pass along to you. In a couple of weeks or so, the owner will get a confirmation letter with your name on it. They can then send a copy of the letter to you so you have your reservation "in hand". Although you can't call to check availability or make ressies, you can call in with your confirmation number and re-confirm that you do indeed have a reservation.