Beard hair is a genetic trait similar to the color of your eyes and hair. 10% minoxidil is not generally recommended even for scalp since it can have unwanted systemic side effects.
It may be worth trying minoxidil. 10% is a specialty order item and I don't have much experience with this concentration. Most doctor feel that high concentration may work better but there are more side effects.
Unfortunately, no. The growth of male facial hair is influenced by DHT (ironically, the same hormone that causes genetically affected men to lose hair from the scalp). Minoxidil will be of no benefit.