High blood pressure can indeed cause bloodshot eyes if the blood pressure stays high too long and isn't lowered.
If your blood pressure gets above 135 over 85 then it's getting too high and you should try to get it lowered and if it doesn't lower you may need to call 911 or get to the hospital.
High blood pressure can damage eyes and cause burst blood vessels in the eyes as well and could even lead to blindness in some cases.
Usually though if a blood vessel in the eye bursts it will usually go away on it's own and heal on it's own within a week or so.
But if you're worried you can go to the emergency room or urgent care to make sure nothing serious has happened or is about to happen.
High blood pressure can also cause heart attacks, strokes heart disease and even death.
The optimal blood pressure for most people is 120/80 but even 135/85 can be normal for some people but once the blood pressure gets higher than 135/85 it's getting too high and needs lowered.
Having high blood pressure can damage the tiny blood vessels in your eyes and can lead to eye damage if left untreated.