Is it possible to remove skin moles on your face without surgery?

Yes.: Yes. http://www.wikihow.com/remove-moles-without-surgery.

Not usually: A mole is a collection of skin pigment cells that are usually dark but not always. The base of the mole extends the full depth of the skin so to completely remove it a minor surgery is usually necessary. In most cases the final scar is less visible than the mole itself. Simply shaving the mole off flush with the skin is not effective. Non-surgical treatments may fade a mole but not remove them.