The question is so common that it has its own section in the FAA’s drone FAQ
> Can you shoot down drones above your property?
> It’s illegal under federal law to shoot at an aircraft. A private citizen shooting at any aircraft – including unmanned aircraft – poses a significant safety hazard. An unmanned aircraft hit by gunfire could crash, causing damage to persons or property on the ground, or it could collide with other objects in the air. Shooting at an unmanned aircraft could result in a civil penalty from the FAA and/or criminal charges from federal, state or local law enforcement.
> Can you shoot down drones above your property?
> It’s illegal under federal law to shoot at an aircraft. A private citizen shooting at any aircraft – including unmanned aircraft – poses a significant safety hazard. An unmanned aircraft hit by gunfire could crash, causing damage to persons or property on the ground, or it could collide with other objects in the air. Shooting at an unmanned aircraft could result in a civil penalty from the FAA and/or criminal charges from federal, state or local law enforcement.
https://www.faa.gov/newsroom/what-know-about-drones