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Based on the information provided, I was unable to find specific evidence that Lipitor directly increases protein synthesis rates. Lipitor, also known as atorvastatin, is a statin medication that lowers cholesterol levels in the blood by inhibiting HMG-CoA reductase, an enzyme that plays a crucial role in the production of cholesterol in the body [1].

While Lipitor's primary mechanism of action does not involve protein synthesis, it is important to note that cholesterol is a vital component of cell membranes and is required for the synthesis of various hormones and bile acids. Thus, by reducing cholesterol levels, Lipitor may indirectly affect various cellular processes, including protein synthesis [2].

However, there is no evidence to suggest that Lipitor has a significant or direct impact on protein synthesis rates. It is primarily used to manage high cholesterol levels and reduce the risk of cardiovascular events [1].

In summary, based on the available information, Lipitor does not appear to increase protein synthesis rates directly.

Sources:
[1] "Atorvastatin (Lipitor, Torvast)." StatPearls [Internet]., U.S. National Library of Medicine, 18 Feb. 2022, <https://www.ncbi.nlm.nih.gov/books/NBK519501/>.
[2] "Cholesterol." StatPearls [Internet]., U.S. National Library of Medicine, 11 Mar. 2022, <https://www.ncbi.nlm.nih.gov/books/NBK535452/>.