I want some small fonts to look with no smoothing. Is it possible to disable font smoothing using HTML/CSS?
Yes, it's possible, but not for all browsers.
font-smooth: auto | never | always | <absolute-size> | length | initial | inherit
-webkit-font-smoothing : none | subpixel-antialiased | antialiased
For your case:
font-smooth: never;
-webkit-font-smoothing : none;
UPD(for Chrome): Force Font Smoothing in Chrome on Windows