The operating input and output range of the AD633 is within 3V to 4V of either supply voltage (see Fig. 6 in the data sheet). Thus for operation on a single supply, the input and output voltages can go no lower than 3-4V above ground or no higher then 3-4V below the supply voltage. If you can maintain the input and output signals within that range, then it should work with a single supply, although at lower voltages, the accuracy may suffer. It will obviously not work properly down to ground with a single supply.