Could you have back problems that effect your eye sight?

Not really.: These could either be unrelated. Or could be a part of certain inflammatory arthritis -- for example reiter's syndrome which includes a triad of symptoms: inflammatory arthritis of joints and tendon attachments which may lead to back pain, inflammation of the eyes leading to conjunctivitis vs. Uveitis, and urethritis(men) vs. Cervicitis(women.) see you doctor for evaluation and diagnosis.

Indirectly: Having back problems would not directly affect your vision. However, there are a number of arthritis conditions that are associated with inflammation in the eye which might affect vision. You should ask your treating doctor.