Yes, the green is a ground.
However, using an ungrounded water pump is a VERY poor idea. At a minimum, you should use a GFCI receptacle or construction pigtail feeding the circuit. GFCI's will work even when ungrounded, and will trip when they sense an imbalance in current between the power that is being sourced vs the power returning.
Yep. Safety first. Best put a 3 prong plug on the pump anyway & it'll plug right in to either solution.