Is there is any medicine for facial hair growth?

There are no accepted or approved treatments or supplements that increase the rate of facial hair growth. However, there are a few supplements been shown to help with the health of the hair, which may help it to grow better. The main natural products that help with hair health are Biotin, Silica, MSM, and L-Cysteine, so you could try any or all of them. Facial hair for men is a secondary sexual characteristic mainly controlled by blood levels of testosterone and estrogen, influenced in large part by genes/race.

Rogaine and Propecia do not increase the rate of hair growth and have only been shown to be effective in restoration of hair growth in male pattern baldness.