Is it okay to get a headache when you get a popped blood vessel in your eye?

Probably not. The combination of a headache and a conjunctival hemorrhage is concerning for very high blood pressure. This is something that should be checked out right away especially if there are visual changes.
It may be. It is not altogether uncommon to either experience a brief episode of discomfort around the time of the popped blood vessel (subconjunctival hemorrhage), or even a mild headache. If blood pressure is significantly elevated it can cause both headaches and subconjunctival hemorrhages, and can lead to a stroke. See your doctor immediately to rule out blood pressure issues.

Related Questions

Lately my eyes been bothering me and I can see blood vessels appears & it hurts and I also get a bad headache. I'm a runner who runs a lot outside sun?

Allergirs. Sounds like you have developed allergies. It is also possible that simple irritation from dust and sun exposure could be causing your problem. I would suggest wearing eye protection when you run, and using cool water to rinse your face, and gently wash off your eyelashes afterwards. Your headache could be a symptom of sinus congestion, also allergic. Read more...
Dry eye. Your description sounds like dry eye symptoms. It is common in runners and causes eye irritation/redness/blurred vision. Using eye drops to keep the eyes lubricated and wearing sunglasses to keep the wind out of your eyes while running should alleviate your symptoms. Read more...

Dull head ache front forehead towards right for 2-3 days also my right eye patch of real bloodshot like pop blood vessel what is it also very tired?

Headache. You may have neuralgia involving the superficial nerve over the right eye but this wouldn't cause a ruptured vessel or subconjunctival hemorrhage. I recommend that you have an examination by your physician if headache persists and he/she will determine whether it's advisable to see an ophthalmologist for the subconjunctival hemorrhage which usually resolves without any specific treatment. Read more...