Very likely. There is some evidence suggesting that getting less than six hours of sleep per night can raise blood pressure.
Researchers have found that people who sleep only five hours or less per night are more likely to develop or worsen hypertension. Those who sleep 5-6 hours per night are slightly better off, but they still have an increased risk of developing high blood pressure.
It is generally believed that sleep helps the body regulate the levels of stress hormones in the blood, including adrenaline, norepinephrine, glucocorticoids, and angiotensin, and helps maintain the health of the nervous system. Chronic sleep deprivation can impair the body's ability to regulate these hormones, leading to increased blood pressure.