Well, yes, it is possible for your eyes to feel sensitive to light. And from your description, I have to say that you may get photophobia. And when your eyes get photophobia, your eyes will feel discomfort in bright light. To treat it, there are many ways you can just have a try. For the diets, you can just eat certain foods such as Chinese wolfberries. Also, according to some experts, carotene from carrots and foods rich in vitamin A can be tried too. And I have to tell you that the photophobia can be caused by corneal abrasion, and that can be dangerous, so just be careful about it.