Can stroke affect eyesight?

Absolutely. You can have a vascular occlusion within the eye which can affect the sight in that particular eye. You can have a stroke in the visual cortex which can block portions of your vision. Strokes have also affected color vision, facial recognition, visual memory and other visually related functions. These conditons are best analyzed by a neuro-ophthalmologist.
Stroke. Stroke is a blocked vessel, if it blocks flow to the eye or visual cortex, it will affect vision.
Yes. Depending on the localization of the damaged area of the nervous system or the blood vessel involved a stroke can involve eye sight.