Can a pinched nerve cause tooth pain?

The right nerve: yes: While i'm not sure of the context of your question, a pinched tooth nerve will cause all sorts of tooth pain and sometimes numbness to a tooth. A common cause is a new filling or crown that is high; this can result in swelling around the tooth and "pinching" of the nerves.

No,Nerve impingement: can be caused by being sandwiched between two spinal bones, pressed by a bulging disc. It can cause muscle spasm and back pain. This condition must be professionally managed. See an interventional pain management specialist for definitive diagnosis and management. See your dentist for tooth pain.

No: No, not in the traditional sense. The nerves to the teeth are within bone, so unless due to a jaw fracture, unlikely.