Yes, work release inmates can be moved between facilities, and it is not necessarily a cause for concern. Work release units operate separately from the general population and are designed to support the final phase of reentry. Administrative transfers between work release centers happen for a variety of routine reasons, including program capacity, geographic proximity to a job, bed availability, or changes in the inmate's job situation.
The database showing an old location is almost certainly a lag in how quickly the DOC system updates after a transfer. Those records sometimes reflect where an inmate was previously housed for a period before catching up to the current location. What matters is where the system shows him now.
Work release status is a positive marker. Inmates in these programs have earned a level of trust that the general population has not, and they are actively working toward full release while still under supervision. A change in the specific work release facility does not erase that status unless there was a program violation involved, which would result in a very different kind of move.
If you want to confirm exactly where he is and that everything is in order, a direct call to the DOC or the current facility listed will give you the fastest accurate answer.