Well, generally speaking, pink eyes can not cause subconjunctival hemorrhage. So you do not need to worry about it. And just take some measures to heal your pink eyes. As we know that subconjunctival hemorrhage is similar to an ordinary bruise on the skin. And it's like a bruise of the eye. In many cases, an injury to the eye or a head injury can be the cause. Of course, you should know that sometimes they occur after a bout of coughing or vomiting. Besides, they are associated with high blood pressure. And pink eyes are caused by bacteria and irritants. So there is nothing to do with pink eyes. Anyway, you can put some ice on your eyes, and also can drop some eye drops to relieve your pink eyes.