You CAN fly with high blood pressure.
High blood pressure is not on the list of health conditions that require medical clearance or prohibit you from flying. That being said, it is always advisable to seek a physician’s opinion before flying if you have a medical condition. [“Medical Conditions”, virginblueairpass.com]
Aerospace Medical Association Recommendations
According to the Aerospace Medical Association, anybody with an unstable medical condition should not fly. The dangers to health arise from the changes in cabin pressure, oxygen levels, and low humidity can affect an ill person particularly someone with a cardiovascular condition.
Common Conditions Restricting Air Travel
You are prohibited from flying or may need medical clearance for a variety of conditions including cardiovascular disease, asthma, emphysema, deep venous thrombosis, stroke, mental illness, diabetes, seizure disorders, and infectious diseases. [“Medical Guidelines for Airline Travel”, 2012] Prior to taking a flight, be sure to check the individual airline’s medical restrictions.
“Medical Conditions | Airpass | Virgin Australia.” Virgin Blue Airpass | Airpass | Virgin Australia. N.p., n.d. Web. 16 Apr. 2012. http://www.virginblueairpass.com/Person/Flightinfo/SpecialNeedsandAssistance/Medicalconditions/index.htm
“Can you fly if you suffer from high blood pressure?.” NetDoctor.co.uk – The UK’s leading independent health website. N.p., n.d. Web. 16 Apr. 2012. <http://www.netdoctor.co.uk/ate/heartandblood/203593.html>
“Medical Guidelines for Airline Travel, 2nd ed..” Aerospace Medical Association, Medical Guidelines. Task Force, Alexandria, VA, n.d. Web. 16 Apr. 2012. <www.asma.org/pdf/publications/medguid.pdf>