A FHSS based 2.4GHz cannot fail in this way. It doesn't stay on one frequency long enough for interference on that frequency to matter.
You don't have to knock out all that many to get a "glitch". Total loss of control is more difficult.
You'd have better luck if you deliberately hit either the aircraft or the transmitter with a strong enough signal to overwhelm the antenna. The equipment required to do that isn't generally sold. It'd have to be custom built.
Overwhelming the front end isn't too hard, all you need is a microwave oven magnetron, horn antenna, and power supply.
People are calling this thing a "drone", but I'm wondering if it's really more of a standard model R/C aircraft under real-time control from the pilot and without any sort of autopiloting capabilities. With those, if the control signal is lost, they won't hover and certainly won't return home, they will generally cut throttle and return control surfaces to neutral, dropping out of the sky.