So I plan on taking the supervisor test soon. I heard that my building, and others in the area, are desperate for PT supervisors. If I pass the test and get a promotion can I transfer to one of the other buildings in the area (one in particular is closer to my house) or do I have to stay where I am?
Here is the simple answer:
No. Unless, you do as Frigid suggests and apply directly to another building.
A manager isn't going to put their name on your promotion only to ship you across the division. Manager's aren't fond of jettisoning good people.
However, not all is lost. In most cases, the District Operations/Transportation Manager green lights transfers. If they are fond of you, it might happen in spite of it all.
UPS is push and pull system. You need someone to push you forward and someone else to pull you up. To do as you would like, you would need your current management team to push you and the building you want to go would need to pull you to them. That's difficult even at middle manager levels.