What is a field expedient way to perform a needle chest decompression to relieve the pressure of the tension pneumothorax if you don't have a catheter?

You need to create a hole through the chest wall to relieve the pressure. You can do this as you would insert a chest tube by making an incision through the lateral chest between ribs. If the patient is able to cooperate, you would want the patient to breathe in fully, and then seal the hole while their lung is inflated. Preferably, you insert a chest tube with water seal or suction; but you could instead cover the hole with tape or another occlusive dressing.