We are on well water. We have never had a problem with supply or pressure until recently. Periodically we will loose water to any faucet in the house and some days it will be just fine. Is this a pump problem?

You need to look at the tank gage when this happens. Is the pump running? What is the pressure? If the pressure is low and the pump is running and then corrects itself, usually at night, it typically means you are running out of water. How deep is the well? How far down is the pump or foot valve?