If you are just looking for a promotion/advanced position, the job description at UPSjobs would have to indicate that relocation was covered.
If there were family changes, or schooling that required re-location, it would be likely that you would be able to receive a comparable job at another UPS facility, but it is generally not with added responsibilities or pay.
I gathered from your post that you are presently in operations? Perhaps a driver? If that's the case and there are no supervisor positions that open up after the first quarter, you may want to consider looking into BD as that would likely be your best bet to move around at a later date.
It would likely take quite a bit longer in operations to do the same thing.