Based on the information available, it is possible for Lipitor (atorvastatin) to be combined with other blood thinners, but it is crucial to consult with a healthcare provider before starting or changing any medication regimen. Lipitor is a statin, a class of drug used to lower cholesterol levels, while blood thinners, also known as anticoagulants, work to prevent blood clots.

When combining Lipitor with blood thinners, there are a few factors to consider. According to Drugs.com, there are no direct interactions between atorvastatin (Lipitor) and common blood thinners such as warfarin, clopidogrel, and aspirin. However, using these medications together may increase the risk of muscle damage (rhabdomyolysis) or liver damage [1].

Additionally, the combination of Lipitor and blood thinners may increase the risk of bleeding, especially in elderly patients or those with underlying medical conditions. The FDA label for Lipitor includes a warning about increased bleeding risk when used with anticoagulants [2].

It is important to note that individual patient factors, such as age, weight, kidney and liver function, and other medications being taken, can significantly impact the safety and efficacy of combining Lipitor and blood thinners. Therefore, it is essential to consult with a healthcare provider to determine the most appropriate treatment plan.

In summary, while Lipitor can be combined with blood thinners, it is crucial to consult with a healthcare provider to assess individual patient factors and potential risks.

Sources:
[1] <https://www.drugs.com/drug-interactions/atorvastatin-with-warfarin-133-194-153-134.html>
[2] <https://www.accessdata.fda.gov/drugsatfda_docs/label/2016/020762s052lbl.pdf>
[3] DrugPatentWatch.com - A comprehensive database for drug patents and related information. However, it does not provide specific information on the combination of Lipitor and blood thinners.