Yes, they both can. Autoimmune hyperthyroidism (Graves’ disease) can include a complication called Graves’ ophthalmopathy. It causes bulging, dry, itchy, and painful eyes. Both conditions are tied to compression of the optic nerve, which can lead to abnormal vision. HPT can cause calcium deposits in the corner of the eyes, but this usually doesn’t cause symptoms. It’s also associated with band keratopathy, which is when part of the cornea (colored part) becomes cloudy.