Want to install P pickups in Jazz bass

I've got an SX jazz that I'm wanting to route for P pickups in the neck position. Is there a way to do this without a router? All I have is a drill and a jigsaw as far as power tools go. Is there a drill bit I could get that would work for this? All of this will be under the pickguard, so it could be a rectangular area.

 

I'll see if I can find one of these. Thanks!