Can Invisalign be used to move already veneered teeth which are properly bonded and healthy?

Yes,,,Not the best sequence..Better to wait and do the cosmetic dentistry after straightening your teeth..However, it can be done..just more difficult.

Hi:In most cases crowns and veneers can be moved by braces or Invisalign as long as the teeth are not splinted together and are individually cemented.Best,Dr. Maddahi

Hello!
It could be a solution, but you need to be aware, sometimes to get the job done, little pieces of material are bonded to the tooth to serve as anchor for the invisalign system, in such cases is possible for the veneer to endure some damage, worst case scenario to be replaced, this is not for every veneer, but some, depending on the planning for the system.
Hope this helps, good luck