Can I get Invisalign if I have a lumineer on my top teeth? Will Invisalign work with a lumineer already in place? (Photo)

I have treated many cases successfully involving lumineered and veneered teeth with the use of Invisalign. Prime cases are when teeth were veneered in a position with no spaces or crowding and the teeth and veneers have shifted since the placement.  

Not a problem.  The porcelain on the crown of the tooth does not affect the movement of tooth roots.  However, applying an "attachment" to the tooth may not work as well if the tooth needs movement that the tray alone cannot accomplish.