Assume there is a completely frictionless surface. Would touching such a surface be possible? If so, what would it feel to the touch?
I'd guess the downvote (the downvote wasn't me BTW :-) is because "what your fingers feel" isn't really a physics question. I'd say it was biology or physiology or something like that.
Anyhow, to get back to your question, it's possible to make surfaces that are almost entirely frictionless by using a fluid layer as a lubricant. For example if you spread a thin layer of dimethicone on glass and rub your finger on it there is almost no resistance. Alternatively you can use a metal surface with tiny holes in it and pump air through the holes. Again when you rub your finger on the surface there is almost no friction. In both cases it's because a thin layer of fluid (oil in the first case and air in the second) prevents your finger from actually touching the surface.
As to what it feels like, well I have personal experience of both, and it just feels slippery; a bit like touching ice but without the sensation of cold. It's really nothing special - sorry!