Well, I was shocked to discover that you could do just that!
In 1986, the Sweetheart company released not one, but two different sets of Labyrinth cups!
The set of 40 9oz "Cold Cups", had two designs.
Hoggle and Sir Diddymus share opposite sides of one cup and Ludo and a Firey on the other.
What makes these even more special is, at the time of this post, these do not yet exist on the Muppet Wiki!