Ukraine is doing that. They have anti-drone drones called Sting

No emp because when it comes to drone warfare cost effectiveness is imperative. No use using a multi thousand dollar drone to down one that is a fraction of that cost.

Russia is pretty much doing the same as well. I just watched a video this past week of a drone of theirs skewering a Ukrainian reconnaissance drone with metal rods until the recon drone caught fire and crashed. The Ukraine war is definitely the cutting edge for drone combat.