Does vegetables or healthy foods help make facial hair grow?

No. Facial Hair growth is due to testosterone in the body. Unless you can find a food that contains testoterone (0% chance of that by the way), you'll just have to let your body grow more. Now, if you're already well over 21, which is the age that the average male stops growing, I suggest seeing a doctor for testosterone therapy. Also keep in mind that some men just don't grow facial hair. Native Americans, for example.