My hands go numb and feel swollen. Could this be caused by a pinched nerve?

It could be do to a . Pinched nerve in your neck or in your arm like a carpal tunnel syndrome or even both. If it is troubling for you, see your doctor for an evaluation. There can be other causes as well.
Maybe. Patients with carpal tunnel syndrome often complain that their hands feel swollen and numb. When does it occur? If it is persistent, I'd have it checked by your physician.