No, the reason that Lucky Charms is the name that it is is because the marshmallows in it are shaped like St. Patricks day and leprechan themes such as a rainbow, horseshoe, and so on.
Charm is how you make people feel. Your actions, and your words make them feel special, and they are 'charmed' by you. They find you 'charming'. By making someone feel special, interesting, and...