Can state or local laws regulate where aircraft can take off and land?
As any licensed pilot knows, the FAA and the US military are the "de-facto" regulators of 99.9% of what goes on in the air over the US (see: https://aviation.uslegal.com/government-regulation-and-control/state-aviation-regulations/ ).  Still, state and local governments are not entirely powerless here.  The general theory being more or less that, in cases where there is no obvious conflict with the FAA, or the US military, then local jurisdictions may still have some small level of control over certain very limited "air-spaces" (see: http://caselaw.findlaw.com/us-6th-circuit/1140229.html ).  Suggestion: 99.9% of the time, the FAA wins, but hey, don't let that slow you down!  (Still, in view of the findings of the second case I just listed above, if I were you, I might try keeping peace with my neighbors over trying to save just a few steps on the way home.)