Could birth control pills increase sex drive?

A better question...: If the goal is to increase sex drive, the question is what is causing a decrease to begin with. Decreased desire can have many causes, both psychological and physiological. It would be useful to have an idea about the likely cause before proposing a solution. A good start would be a frank conversation with your doctor and a good medical workup to address potential medical/health issues.

Yes: Different pill formulations can have different effects. A common effect of some birth control pills is change in the sex drive. As already noted by another physician who answered this question, if you are needing something to alter your sex drive the first step is to try to determine the cause of the problem.