Actually, it's probable... Though I can't quite see myself as a drone pilot, and I don't think this would apply to everyone.
I can, however, offer into evidence a personal experience of mine. I'm obviously a hardcore gamer, and my primary interest is in FPS-style games. Until just this last year, I'd never touched a real gun, and had only seen one.
Recently, a friend of mine and I went out to shoot. My friend has a 12-gauge shotgun, and his father owns several handguns. I'd shot the shotgun less than ten times at still objects (boxes, bottles, etc.) and never missed a shot, not even the first-ever time I'd pulled the trigger. I went on to moving targets almost immediately, clay pigeons, and out of over 35 that I shot at, I only missed tw0.
The same was true for the .45 and the .22.
Again, I'd never even /touched/ a gun of any sort before.
Perhaps I'm just naturally talented, but (and this may make me sound crazy) I find myself relying on the same things when I'm actually shooting a target as I am when I'm playing a videogame. I can't honestly say what I can contribute my ridiculously-good shooting skills to, but I personally do think that it has something to do with my own gaming experiences.