Can pain from the levator scapula also cause arm pain ?

Possibly related: Pain in the levator scapulae and arm can both be related to an overuse syndrome, postural issues (like carrying a heavy backpack or purse only on the right side daily) or both can be caused by a cervical radiculopathy (pinched nerve in the neck). If your symptoms warrant, you should see a physician (orthopaedic surgeon or physical medicine ; rehab doc) for evaluation.