Making of drones i.e., any hovering craft needs a interdisciplinary array of subjects such as Mechanical, Electronics, Aerodynamics.  Thus a well number of fields can mix into this project. Mostly such projects are done by Aerospace/Aeronautical Engineering graduates as there field of study is entirely involved with such mechanism but other fields can also participate in this field such as ECE and ME. Now there are also some institution like IIT KANPUR where such kind of projects are also carried by Physics students/CSE students also. So there are no such boundation until and unless your college restrict you from doing it. Else you can do anything as a project and you are interested in.

I hope this answer helps. All the very best for your future endeavors!