This article is from the Paper Money Collecting FAQ, by Bruce Giese email@example.com with numerous contributions by others.
Usually not. Notes from 1963 onward were collected in large
quantities and the supply of most notes is not going to be limited
anytime soon. Of course notes with errors, replacement notes (with
stars next to serial number), low serial numbers, interesting
serial numbers, etc. can be worth much more than face value.