Can a spontaneous caster use Arcane Fist along with metamagic?

If a character with the Enlightened Fist prestige class (from Complete Arcane, p.34) comes from a class that casts spontaneously (such as a sorcerer), then is it possible for her to use the Arcane Fist special ability to cast a spell enhanced with metamagic, given that it would itself take a full-round action?