Lipitor is a brand name for the drug atorvastatin, which is used to lower cholesterol levels in the blood [1]. Grapefruit and its products, including grapefruit oil, contain compounds that can interfere with the metabolism of certain drugs, including statins like Lipitor [2][3]. This interference can cause the drug to build up to dangerous levels in the body, leading to potential side effects such as muscle damage and liver problems [2][3]. Therefore, it is not safe to consume grapefruit oil with Lipitor. Patients taking Lipitor should avoid consuming grapefruit and its products, including grapefruit oil, to prevent any potential interactions and side effects [2][3].

Sources:
[1] https://www.drugpatentwatch.com/p/tradename/LIPITOR
[2] https://www.health.harvard.edu/heart-health/grapefruit-juice-and-statins
[3] https://www.healthline.com/health/high-cholesterol/grapefruit-and-statins