Yes, it may as it contains butalbital, which is a mild narcotic. It is not as effective as other pain medications, but at my job as a neurologic assistant, I see many patients that have told me it improves their back pain.
Fioricet contains a combination of acetaminophen, butalbital, and caffeine Acetaminophen is a pain reliever and fever reducer. Butalbital is in a group of drugs called barbiturates. It relaxes muscle contractions involved in a tension headache. Caffeine is a central nervous system stimulant. It relaxes muscle contractions in blood vessels to improve blood flow.
But as Robert said, it is indicated for headaches.