Yes, stopping drinking alcohol can lower blood pressure. Drinking alcohol can increase blood pressure, especially if consumed in large amounts or on a regular basis. When alcohol is eliminated from the body, blood pressure can start to decrease. However, if someone has been drinking heavily for a long period of time, suddenly stopping alcohol consumption can cause a rapid drop in blood pressure, which can be dangerous. It is always important to talk to a doctor before making any changes to alcohol consumption, especially if there are underlying health conditions.