In one of the machining courses I took in college the final project, after all sorts of other lathe and mill work and elaborate stuff, was to sharpen a 118 degree drill bit properly by hand on a bench grinder. You had 1 hour and couldn't take more than 1/2" off (sounds generous, right?), and you could have it graded as many times as you liked and improve your grade if you desired. Most of us barely made it within the hour and got C-B grades (no one got an A) and 1/3 of the class failed the final. A few people had to retake the class because of that drill bit. At the time that would about $1000 drill bit for those people.
I do not suggest hand sharpening drills if you actually want to get it right.
But yes, you CAN do it and I'm sure you CAN get good at it.