Based on the information provided, it is possible to take supplements while on Lipitor (atorvastatin), but it is crucial to consult with a healthcare provider first [1][2]. Certain supplements, such as red yeast rice, coenzyme Q10, and niacin, can interact with Lipitor and affect its efficacy or increase the risk of side effects [1][2][3].

Red yeast rice contains a natural form of statin, which can increase the risk of muscle damage and liver problems when taken with Lipitor [1][3]. Coenzyme Q10 levels may decrease with statin use, and supplementing with it may help reduce muscle-related side effects [1][3]. Niacin, when taken in high doses, can increase the risk of muscle damage and liver problems when combined with Lipitor [1][3].

It is essential to inform a healthcare provider of all supplements and medications being taken, as they can provide guidance on safe usage and potential interactions [2].

Sources:
[1] <https://www.medicalnewstoday.com/articles/drugs-lipitor-interactions>
[2] <https://www.nhs.uk/medicines/atorvastatin/taking-atorvastatin-with-other-medicines-and-herbal-supplements/>
[3] <https://www.drugpatentwatch.com/p/tradename/LIPITOR>