Well, given that they wore much heavier armor when jousting than fighting, and used blunted weapons . . . I'd say so.
I think horses wore pretty heavy armor -- a good warhorse was quite valuable, after all.
I don't think warhorses would be used for jousting. Also, I bet that if a horse was wounded or killed, the owner could demand compensation (in some cases).
Well, I found this:
http://en.wikipedia.org/wiki/Jousting No time to read now though, need to get to a lesson Greek Archaeology