Well, generally speaking, yes, blephariti can cause double vision. As we know that Blephariti is inflammation that occurs in the part of the eyelid. In many cases, if you get T blephariti, it can lead to many eye diseases. For example, your eyes can become red, irritated and itchy. Maybe lead to double vision. It can be dangerous to have double vision, when you have driving. So for you, I will suggest that you should not touch eyes unless hands are clean. For the home remedy, you can put a damp, warm washcloth held over the infected eye a few times. In this way, it can help relieve swelling, itching and redness. And also it will do a help to the double vision. By the way, according to some researches, blephariti occurs when the small oil glands near the base of the eyelashes don't work properly. So just be careful about it.
