How to know if my tmj can be cured with a chiropractor?

Try it: Sometimes the position of the lower jaw is out of wack due to bones, muscles and teeth. Seeing a dentist is where i would start however you can try a chiropractor and if no better consult a dentist.

TMJ treatment: Temporo-mandibular disorder is the second most frequent cause of orofacial pain after dental pain. Proper diagnosis is the key for the successful treatment. See an orofacial pain practitioner for a consultation and management. Your chiropractor can treat your back injury in a number of ways, but not TMJ.

It can't: Chiropractors are not mainstream TMJ docs. I'd see a local TMJ expert who can use multiple modalities of treatment. All a chirpractor can do is chiropractic.