Yes Red Robin does have and sell Lettuce Wrapped Burgers.
When ordering a Lettuce Wrapped Burger at Red Robin just either ask for a Lettuce Wrapped Burger or if they don't know what you're talking about the lettuce wrapped burger is also known as a wedgie burger.
Just say you want a Wedgie Style Burger which will be lettuce wrapped.
It's a great burger with the lettuce wrap and I even make them at home that way as well.
I like lettuce wrapped burgers much better than traditional style burgers but I like them both and sometimes order a traditional burger and sometimes the lettuce wrapped burger.