REALLY funny that you should ask! My wife was wathcing me sharpen my chef's knife (the 8 inch, she uses the 6 inch which is, I am told "already sharp enough" whatever the hell that means). She was cutting a pizza-like dinner we made, rolling over and over one section of the thin, crispy crust, and she said the words that melted my heart like so much heated Mozzerella..."honey....could you make this thing sharper?"
So, I put an approxinatley 30 degree (total) edge on it using the Sharpmaker, carefully shaprening, turning, (holding with Slice-Safe gloves) holding, turning, sharpening, turning.....welll, it took me a long time, but it is now shaving sharp. We had long since finished dinner, and of course I wanted to see how it worked. Two nights later, we made the same dish (I wonder whose idea that was?) and she was stunned. I think the edge might be a tad thin for the crappy steel, as it will likely need sharpening agian relatively soon. It is one of the cheap cutters, and this was more an experiment than anything.
Wait...what was the question again? Yes, it's possible. 30 degrees worked (15 each side), and it was a pain in the butt.