Can you get veeners when a tooth is rotated towards the back of the mouth? (photos)

It is possible to utilize crowns or veneers to improve cosmetics but I would suggest better approaches.
Expansion with a DNA Appliance or SARPE procedure can create the space you need and correct crossbite, narrow smile, dark buccal vestibules and more.  You probably have a very small airway as well.Oral Myofunctional Therapy can be helpful as well.
A snap on smile possible for "instant results"

Gelclaire can adjust sores.

Ira L Shapira DDS, D,ABDSM, D,AAPM, FICCMOPast Chair, Alliance of TMD OrganizationsDiplomat,  Academy of Integrative Pain ManagementDiplomat, American Board of Dental Sleep MedicineRegent & Fellow, International College of CranioMandibular OrthopedicsBoard Eligible, American Academy of CranioFacial PainDental Section Editor, Sleep & Health JournalMember, American Equilibration SocietyMember, Academy of Applied Myofunctional SciencesMember, Academy of Cosmetic Dentistry

Yes.  Veneers can work to fix rotated and crowded/poorly aligned teeth.  It's always healthier to align the teeth before veneers if at all possible.  Your experience with Invisalign sounds super painful.  If I were treating you, I would definitely be looking for underlying cause of the ulcers.  I'm sure you've already done this, but a few suggestions are to stop using any toothpaste or oral products with SLS (sodium laurel sulfate), and consider a food allergy test (like ALCAT).If we could find the root cause for the ulcers, then I would recommend re-trying Invsalign or using a functional appliance (expander) to make room for that tooth to move forward.  Then do some minimally invasive gum contouring and whitening...you'll probably find that your smile is right where you want it.Of course, if you feel you've exhausted your efforts with minimally-invasive dentistry, then I would find an experienced cosmetic dentist who practices minimally-invasive dentistry to use veneers to fix your smile.

by seeing your photos, best option is braces or aligner treatment. veneer is not recommended and also contra indicated in your case. you have anterior cross bite. 

Hi:If orthodontic treatment is out of the question, you most likely will need a crown and gingivectomy to recountor the gum around the rotated tooth along with multiple veneers on the rest of the upper front teeth to make it work.  There is alway a possibility that you will also need a root canal on the rotated tooth depending on how much tooth structure needs to be removed.Best,Dr. Maddahi

Yes, you can have a veneer or crown done on this tooth to make it look more esthetic. It's not going to be a typical veneer. You will need crown lengthening to raise the gum height to a normal level. This veneer is also going to be very thick and may feel odd to your tongue. Finally, if the tooth is prepared  to try to bring it into a normal position you may require a root canal. If you are willing to jump through all of these hoops it will be worth the trouble.