Did the us make a 20 cent coin?

Indeed!

Between 1875 and 1878, the US produced 20 cent pieces. They are also very valuable and rare. Here is a link below so you can view a picture and statistics about every 20 cent coin minted in US history along with how much they are worth based on their condition.

MoreThe 20¢ denomination was intended to move US coinage to a true decimal system based on factors of 10, similar to that adopted later by most countries around the world. The Mint made three enormous mistakes, though - the new coin carried exactly the same design as the quarter, was almost the same size, and they kept minting standard quarters as well. People confused the 2 coins which caused a lot of cases of under- or over-payment, so the new denomination was quickly discontinued.