Yes, but you can sprint for a very limited time only. It happened to me too many times that I used sprint to ride away from a pack of wolves, only to run out of stamina and have a sabre cat make short work of my horse.

Here's the Respite perk trick however:With the Respite perk your healing spells also restore your stamina, so you can use close wounds/grand healing to fully restore your stamina in a few seconds, which in turn makes you able to sprint almost constantly.(~15 seconds of sprinting depending on your maximum stamina, then 2 seconds of charging up your healing spell).
It's about as fast as riding on horseback, but a lot more fun.


I'm very excited about this mounted combat business though, so I think only my arcane warrior character will remain a marathon running champion.