Can a hurting tooth cause your lip to go numb? if so will pulling the tooth fix the problem. or will it take time after till it heals & recovers

Tooth ache: it is important that you see a dentist about your sore tooth and numb lip. An infection can cause pressure on a nerve and some numbness, but there are also other causes also. A dentist can best answer your questions and provide the appropriate treatment for you. Don't wait.

Numb lip: yes, pressure and infection things may take time to heal after extraction is done

Perhaps: If numbness caused by an infection causing swelling, removing the source of the swelling should allow recovery. The longer the problem has been present, the greater the amount of swelling, the longer the recovery time, the less the recovery. Please get treatment ASAP.

See a dentist ASAP: Numbness of the lower lip is a common symptom of infection of the lower teeth. Resolution of infection, which follows extraction or root canal therapy of the tooth, leads to the gradual return of normal sensation and complete healing.