The answer actually would be yes -- IF, like in Hilbert's paradox, there were already guests in the hotel when the Infinite Circus showed up. In that case, guests could always be bumped from one room to the next (as in, move the guest in room 1 to room 2 to place a new person into room 1, then move that person to room 2 and the person in room 2 to room 3, and on and on.
But as the hotel's completely empty, then the answer is no: in order to accommodate each new guest, it would have to be assumed that there is always at least one more empty room for the next person, who has not yet been given a room. So it's like an infinite number of guests checking into a hotel whose room count is infinity + 1.
And that's about as scientific as I'm able to get. Science: not my strongest subject.