I have a serious eyelash picking problem.....are there any kind of pills/vitamin supplements that will help my eyelashes grow?

That's a tough one..: Trichotillomania, hair and eyelash pulling, is very difficult to deal with, as you know. I'm sure you know that working on stopping the pulling is the long-term solution. No specific supplements other than general healthy diet with lots of veggies and fruits is recommended. "Oiling" the lash with vaseline/Aquaphor/olive oil & lemon may help. Look into Latisse: it is FDA approved for lash growth.