The short answer is yes. Cats can and do have arthritis pains. This degenerative joint disease can cause pain and limit the movement of your cat. Its a good idea to keep older cats indoors to keep them safe. With restrictions to their movement they may not be able to run away from danger or protect themselves the way they used to outdoors.
   While indoors make sure your senior cat's litter box is located in a place easily accessible to your cat. Food and water bowls should also be placed at a level that is easiest. Your older cat may have head and/or neck joint pain so elevating the food bowl may be a welcome comfort.