You can, but you should probably lap it after you've taken your kitchen knives to it; the Nortons are soft, and you want a very flat stone for razors.

Also, 4000 is probably too high a grit for most kitchen knives. You'll end up with a very delicate edge, and you'll have to sharpen much more often. Kitchen knives can and should have some teeth.

The DMT 1200 is great for kitchen knives.