Yes. In its simplest form, radio jamming is just tramsmitting junk on the same frequency as the target. If you want to jam a couple kids using channel 10 on their FRS radios, all you need to do is put your own radio on that channel, ducttape down the push to talk button, and stick it in front of a laptop playing a 10 hour rick-roll video. Jamming RC aircraft, or GPS, or any other radio service is more or less the same in practice. The only difference is the type of transmitter you need to emit the jamming signal.

Radio jamming can be as broadband or narrow band as you desire. The narrower the band you target, the less power you need. The catch is, 1) you need to know what frequency you are trying to jam, and 2) this is not at all legal, so it would probably only fly in the middle of a warzone.

Realistically, a home built drone could be using anything for comms, including the civilian mobile networks or wifi band. Coupled with a tracking directional antenna, such a setup would be very difficult to detect or jam.