For the average healthy adult woman, NHLBI ( the National Heart, Lung, and Blood Institute), says a normal systolic level is UNDER 120 mmHg and a normal diastolic level is UNDER 80 mmHg. Encheph is half right :)
If you have an ischemic (lack of blood flow through vessels) heart condition, the arteries almost always are narrowed and/or hardened and this restriction and lack of flexibilty will increase the systolic (upper number) pressure.
Other heart conditions such as pericarditis, valve insufficiency, enlarged heart, etc. can cause heart related symptoms you experienced due to reduced cardiac output and bp and arteries can be normal.
Yes it is possible. Blood pressures are caused by the exertion of the muscle to push blood through the heart, Blood pressure doesn't cause chest pain per se. When the arteries (which are on the outside of the heart muscle) are blocked, that is what causes chest pain/pressures. Normal blood pressure is 120/80, sorry Enceph, not 120/72. Normal pulse is 72 for a man and 82 for a woman. If you are having any chest discomfort, you should see a doctor.
You may want to have an EKG and echocardiogram to make sure everything is okay with your heart. High blood pressure is a symptom of something that could be wrong with your heart. Not everyone has the symptom. Normal blood pressure is 120/72. If a person has heart disease, the doctors usually want the blood pressure lower than normal.