Well, the answer is maybe. Ok, let me explain what I mean.
When people talk about couples dance animations, they are usually talking about the syncronised pose balls you see on the floor at many clubs. They are slow dances or salsas or some other dance, they are designed to work inside poseballs and getting them to work in a HUD is often either difficult or impossible.
The reason they work in poseballs is because you can easily align two avatars correctly with a set of poseballs. In order for the avatars to look like they are dancing together, you really want them in just the right position with just the right rotation.
Now, HUDs can handle some syncronised animations, but they need to be designed to work with them. The best example of this is a hug animation. When you initiate a hug, the two avatars are squished together and the animation begins. These hug animations are designed to look right if the avatars are facing each other and squished together.