It is recommended that you consult with your doctor before taking Lipitor and Glucosamine together. According to the NHS [2], Atorvastatin (Lipitor) should not be taken with certain medications, including some herbal supplements, as they can interact and increase the risk of side effects. Glucosamine is not listed as a medication that should be avoided, but it is still recommended that you speak with your doctor before taking it with Lipitor.

ConsumerLab [3] also advises caution when taking supplements with statins like Lipitor, as certain supplements can interfere with the effectiveness of the medication or increase the risk of side effects. Glucosamine is not listed as a supplement that should be avoided, but it is still recommended that you consult with your doctor before taking it with Lipitor.

It is important to note that Lipitor is a prescription medication, and should only be taken under the guidance of a healthcare professional. Your doctor can advise you on the best course of treatment and whether or not it is safe to take Lipitor and Glucosamine together.

Sources:
[2] https://www.nhs.uk/medicines/atorvastatin/taking-atorvastatin-with-other-medicines-and-herbal-supplements/
[3] https://www.consumerlab.com/answers/which-drugs-should-be-avoided-when-taking-statins/statin-supplement-interactions/