Yes, hand pump water is safe to drink as long as the hand pump is manufactured to meet the standards set in the Safe Drinking Water Act.
Simple Pump products are manufactured to be compliant with the Safe Drinking Water Act.
In the Simple Pump, all metal in the pump is high-grade, lead-free stainless steel. The check valve is lead-free brass. PVC is certified for drinking water use. Fiberglass resin is certified for drinking water use. Be sure to use specific drinking water compatible hose to take water to your house, not a garden hose.