Sure, but you don't produce power at night, or when the sun is not out. So even if you are paying a 0$ on your electric bill and not getting any excess credit back you likely are using power from the grid (a night) and overproducing during the day to acquire credits to pay for night time usage. If you have a battery, you may be able to do this without being connected to the grid. Residential solar without battery storage really only makes sense with this relationship with the utility.
