Can a piched nerve cause tingling in hands and feet?

Yes. Compressed or "pinched" nerves can cause numbness, tingling, weakness in the arm, legs, hands and feet. If symptoms persist for more than a day or so, see you doctor for a comprehensive evaluation.
Only if multiple. Possibility of multiple nerves being pinched at the same time is low. Chances of peripheral neuropathy are high to cause bilateral arm and leg tingling usually associated with numbness.