Is it possible to beat “An Unlikely Messiah” just using Joan the Maid?

The Perfect Messiah is a mission in the Joan of Arc campaign where you need to bring Joan to a castle on the other side of the map. The mission gives you a ridiculous amount of reinforcements, even though it can be easily beaten with just your starting units or even just using both of your knight-heroes and Joan. So far I’ve been able to beat the mission with a single knight and Joan; can Joan do it alone?

(I don’t count the transport ship as an additional unit).