Yup! They don't have really long whiskers like cats, but horses do have a set of whiskers on their muzzle.
One thing horses can't see very well is the end of their nose. Their whiskers are what they use to find their food and avoid bumping their nose on things like rocks or tree roots. And, of course, they use them to avoid objects in the dark.
Some people trim off a horse's whiskers - but good horse people know that it's a really bad idea and never to cut the whiskers. They do actually use them for something.