The right side of my chest & neck hurt could it be anxiety?

Anxiety: Symptoms on one side, as you described, are unusual for anxiety. Consult your pcp for workup to be on safe side.

Cause for pain: Symptoms of anxiety can include uncontrolled worrying, restlessness, increased muscle tension, irritability, problems wi sleep & concentration as well as feeling tired. If you experience this pain in the absence of any other symptoms, that would make it less likely to be caused by anxiety.