Could a pinched nerve in my back cause pain in my arms?

In neck, yes: Lower in back, it will not normally cause pain in your arms. The nerves running into the arms go down to your upper thoracic, or t1 range. Any nerves that are pinched below t1 near the spine will usually cause pain or irritation in ribs or back. Some peripheral nerves, such as the suprascapular nerve, could be pinched coming off scapula with referred pain into your arms. Hope that helps!

?neck: A neck problem could cause bilateral arm symptoms, but you could have a cumulative trauma issue in hands or arms that is local. An issue involving mid-back or lower back, would not cause arm symptoms.