Yes, high blood pressure can lead to high eye pressure. As we know that when you have done something which can irritate the nerve system, it will make the blood pressure higher. In this way, the blood will flow to the eyes and then make the high eye pressure. In other words, when blood pressure has moved up, eye pressure went up as well. And then, if your eyes suffer from high eye pressure, it can make the bloodshot to eyes. So at that time, you can say your eyes become red. Anyway, if you have high blood pressure, you should be more careful about it. Or it can be dangerous, not only to your eyes, but also other parts of your body. And, when you have high eye pressure, it is possible for your eyes to have many eye diseases, such as dry eyes, or eye strain. Also, it can damage your vision in some degree.