Negative - I had a PO box in a neighboring town until one opened in the location nearest me. You do need a verifiable physical address to get a PO box however:

REQUIRED

Whether you apply online or at a Post Office, two valid forms of identification (one photo and one non-photo) are required when you obtain your keys or combination at the Post Office where your box is located. You must present the IDs at a Post Office. One item must contain a photograph and one must be traceable to the bearer (prove your physical address). Both must be current. Acceptable forms of ID include:

Photo ID Options:

■•■ Valid U.S. driver’s license or state non-driver’s identification card

■•■ U.S. Armed forces, government, university, or recognized corporate employee identification card

■•■ Passport, passport card, alien registration card, or certificate of naturalization

■•■ NEXUS or Matricula Consular card.

Non-Photo ID Options:

■•■ Current lease, mortgage, or deed of trust

■•■ Voter or vehicle registration card

■•■ Home or vehicle insurance policy

Note: Social Security cards, credit cards, and birth certificates are not acceptable forms of ID.