yes you can use one, but as mentioned above the frequency will not be very accurate since a saw bandpass filter has a wide bandpass!
If i were doing it, i would add a series 1-pole LC filter to it to stabilitze the frequency to one point. The saw filter's added dPhase/dF will stabilize the signal's phase noise somewhat. In essensece ALL resonators have fairly flat passband inserton loss, and it is there rapid change in phase vs frequency that makes the oscillastion stabilize on a single frequency.