Not that you couldn't hand ream a 22 Hornet to a 22K Hornet, I strongly advise against it. If you get off just a little you will cut a gouge in the side of the chamber that will not ream out. I also strongly suggest going to the K Hornet. Longer case life, generally better accuracy, easier to load, slightly higher velocity (not a lot).
I have a 22K hornet and it shoots very well with different loads.
These are not hot loads. My Handi 22K Hornet will out shoot my Savage 22 Hornet model 40 any day of the week. I used 34 grain bullets, 50 grain bullets and 40 grain bullets with Lil'Gun, W296 and 1680 using WSR primers and small pistol primers, it shoots every thing well, just some better than others.
Here is picture of the offending Handi
Good Luck and Good Shooting