Will an eyebrow hair transplant work if I have PCOS and take Spironolactone?

PCOS will not affect eyebrow hair growth or surgery.  Taking spironolactone will not affect eyebrow hair growth or surgery.  Simple answer to your question is: yes.

Over-plucking/threading, thyroid disease, and natural aging are the most common causes of thin eyebrows. In general, a transplant should be fine with your underlying PCOS and spironolactone as long as you are no longer plucking them. That being said, you should see a physician for a full evaluation of your health and hair to make sure you are a good candidate for an eyebrow transplant.

You have to be completely evaluated by an experienced hair transplant. Your past medical history and current condition including the medications you are talking should be evaluated. PCOs is usually not a cause of brow hair loss and in fact may affect scalp hair in some patients. If your donor hair of scalp stays healthy you should not have any problem getting a hair transplant using your scalp hair. 

People who pluck their eyebrows must stop doing it of an eyebrow transplant will eventually fail. You can be a reasonable candidate for this if you agree to this plan.