Yes. Steel can get as low as 0.02 microns. The smallest I've seen is 0.003 microns for obsidian edges (volcanic glass).
About 10 years ago, I used to do research in reproductive medicine in Boston. We were working on manipulating eggs, injecting things into cells, etc.
I remember reading about one of the suppliers who had developed a blade with an edge that they described as "ten atoms wide." I guess that's pretty sharp LOL