No, the wormhole was a stationary phenomena.
Does that mean that DS9 was constantly moving, to keep it by the wormhole?
That the Bajoran Womrhole was described as stable would suggest to me that it is stationary relative to the Bajoran star system as a whole . However, it was located within the Denorios Belt, which itself orbits the Bajoran Sun.
As the wormhole is undoubtably a large gravity well, it is possible that the station orbits the wormhole