Possible but will likely take some folder swapping to make it happen with pre-configured downloads.
Each compilation has its own WTF folder provided where the layouts are stored. To be able to change between them you would need to have the proper addons per set up enabled on the desired character.
Then you would either have to merge the folders (which will work if each compilation uses different addons) or you will have to log out and swap WTF folders so the correct settings are available.
Another way you can do this is to use all-in-one type addons like nUI along side a either another like it or a compilation.
Also, you can make your own UI by downloading addons you want to use then setting profiles (if available) for those addons that are specific to your character.
Alternately you can use
Reflux to create profiles for most addons that do not have the option. This option will allow you to change set ups without changing folders.
... And apparently i don't type as fast as Nobgul =)