Your blood pressure may go up for a while when you're under stress, but stress by itself doesn't cause long-term high blood pressure. Of course, if you're under a lot of stress all the time, this can still affect your health.
Smoking, drinking too much alcohol, being obese, and not being physically active do raise your chance of high blood pressure. If it runs in your family, or if you're African-American, your risk is also higher. Blood pressure also tends to go up as we age.