On their uniforms?
Sure, with a really cool glider in the middle. https://www.google.com.sa/search?q=us+army+glider+badge&safe=strict&rlz=1C1CHZL_enSA708SA708&source=lnms&tbm=isch&sa=X&ved=0ahUKEwiP-sOQ9M3UAhXKIsAKHUyqC0oQ_AUICigB&biw=1392&bih=708&safe=high
Which brings to mind the move to have Drone Wings. Their ought to be a design contest.
Yes they did have wings.
In the 1960’s the father of one of my friends let us see his WW2 uniform, and he had glider pilot’s wings on them.
He flew CG-4A gliders in Europe and participated in D-Day.
Too late. “Drone” wings (properly RPA = Remotely Piloted Aircraft wings) already exist: U.S. Air Force aeronautical rating - Wikipedia
The image link that Paul provided mostly finds the rounded wings worn by troops who were trained to ride into combat aboard gliders. That was still a very ballsy thing to do, but is different from the OP’s question which was about the badge for guys who flew the gliders into combat.
For the OP and others, this page Obsolete badges of the United States military - Wikipedia has the whole history of obsolete US military badges. The section on the USAAF has all sorts of cool ones: balloon pilot, airship pilot, aerial gunner, bombardier, etc.
Obviously the design committee went home early.
So ---- they get wings. They just don’t get propellors.