No. Arthritis is a problem with the joints. It's a disease that wears away the bones in the joints. The eye is an organ. If you're having a problem with your eye then by all means to go an eye doctor and get it checked out!
There are no bones in the eye. If you are having problems tracking things or focusing on things, get to an eye doctor ASAP. Since this is not an "I need glasses" type thing, find an opthamologist in you area instead of an optomistrist.