Not in either of our lifetimes. Certainly the UAVs will improve and do more, but the need for a pilot actually flying in the airplane isn't going to go away, ever, whether in combat or peacetime.
And, there will likely be a major setback or two when something goes wrong and the controllers lose control and people get killed when it comes down. After a few really bad accidents, I imagine lawyers will greatly increase the cost of UAVs, if you catch my drift.