Yes, it can. I know it is hard to prove, but it has happened to me about four times during my RTW/EB experience. When one time my cavalry charged a unit that was already routing, right near the sarissas. They lost 5 horsemen and my general. A routing unit that is not fighting to death could not have done that. That was my pikes. I also had that happened when my cavalry was running away and it passes my phalanx. That unit lost 4 men. Not only this, bu I actually observed an enemy general losing 14 men to his own phalanx. It is very rare, but it happens.
EDIT: If anyone who is reading this post had the aforementioned happen to them, please say so! This paranormal happening needs to be validated!!!
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