Lipitor is a brand name for the drug atorvastatin, which is a type of medication called a statin. Statins are commonly used to lower cholesterol levels in the blood and prevent cardiovascular disease [1]. According to Medical News Today, Lipitor is known to have several side effects, including headache, muscle pain, and stomach pain. However, it is not listed as a side effect of Lipitor to increase blood pressure [2].

In fact, a study published by the American Heart Association found that combining drugs that lower blood pressure and cholesterol could do more to prevent stroke. This study suggests that taking blood pressure medication and statins together can reduce the risk of stroke by up to 44 percent compared to taking only one of the drugs [3].

In conclusion, based on the sources provided, there is no evidence to suggest that Lipitor can increase blood pressure. In fact, taking Lipitor and blood pressure medication together may have a positive effect on preventing stroke. As with any medication, it is important to consult with a healthcare professional to discuss potential side effects and determine the best course of treatment for individual needs.

Sources:
[1] https://www.drugpatentwatch.com/p/tradename/LIPITOR
[2] https://www.medicalnewstoday.com/articles/drugs-lipitor-side-effects
[3] https://newsroom.heart.org/news/combining-drugs-that-lower-blood-pressure-and-cholesterol-could-do-more-to-prevent-stroke