All the time! There is city-owned property right behind where I keep my horse and tons of folks walk their dogs there so they'll stop and watch.
Or turn white and whip out cell phones to call 911 the time my horse decided to impersonate a bucking bronco! She didn't manage to unseat her rider (it wasn't me) but she came close and freaked a lot of people.
I hand-walk my horse on the city property a lot and little kids with their parents will ask to pet her or ask questions about her splint boots/polo wraps/fly bonnet.