It seems that you can go a local office close to your home at that time.
The reason I called is that I just moved from one place to a place 800 miles away. But my mailing address is not changed.
I called USCIS for updating my home address in case they inform me to do FP in the city I lived before. But the officer said there was not need to update the home address. I can do FP in any local office close to where I live now.