So a water source heat pump tapping into mine shafts, neat. Run the heat pump off wind or solar, have a decent thermal envelope to lower overall demand, voila emission free heating and cooling. Sounds promising to me.
Of course, easily. Switzerland has been using pumped water for storage almost a century. Here is one example:
It doesn't use wind power exclusively for pumping but any surplus energy. In the past this usually had been French nuclear energy, in the future it will be mostly solar and some wind.