Yes, stress and anxiety can raise your blood pressure, but usually it's only for a short time.

Stress and anxiety can make your blood pressure go up temporarily. Your blood pressure should come back down after a little while. 

Doctors aren’t sure if being stressed all the time raises your risk for getting high blood pressure long-term. But people who are under a lot of stress are more likely to drink alcohol, smoke tobacco, and eat too much. All those things can raise your risk of getting high blood pressure.

When stress strikes, it can lead to blood pressure spikes.