Jammers can be installed in the airports to disrupt the control on all major frequencies used in remote controlled models, but you can still program a drone to fly to a preset GPS waypoint autonomously.
I'm not sure that you could get away with jamming the 2.4GHz band. Wifi operates at 2.4GHz too, and I suspect that there'd be plenty of lawsuits if an airport decided to disable all 2.4GHz equipment within 10km (or whatever distance is appropriate).
I wonder whether there's another way to "shoot down" a drone. Maybe a highly targeted beam on both 2.4GHz (control) and 1575MHz (GPS) to make the drone completely unflyable - although that relies on being able to detect and target the drone quickly.