Nope. Moving is a Simple Action unless you are moving a really far distance, which given that you are on a horse a distance of just 10 feet is not really that far. 

So your horse can get the Free Attack from before. 

[quote=Keia Vewyx]
These fighting scenes have a way of making my posts rather short~
[/quote]

Yea, that is because you can't control the entire scene of the fighting, just what your character does, which is nice because it prevents you from automatically knowing who is going to win or having to either

 A: plan the enemy's ass getting kicked or 

B: Plan your own ass getting kicked.