Yea, stress is really bad to the eyes, which can result in blurred vision, central serous choroidopathy, eye twitching as well as nystagmus. It is possible to cause bleeding eyes, because when one is under great pressure, he is in a poor health and is liable to catch a cold so that he may sneeze or cough, then the pressure changes can result in small subconjunctival hemorrhages. But usually bleeding eye is caused by an injury to the eye, such as being hit in the eye with an object or being involved in a fight. In addition, small forces of trauma can lead to spontaneous eye bleeding, such as a severe coughing fit, vomiting, a violent sneezing, lifting weights or eye rubbing. You also need to watch out the serious causes, including cancer, severe irritation and inflammation of the iris and malformations of blood vessels in the eye.