Not on the east coast and not out west but horses in the Ozark National Scenic Riverways will.
An article by the Park Service puts the town of Eminence in the zone of totality and with it most of the park.
The Pulltite Campground is on the western edge. Click on image to open in new tab.
An interactive map by NASA shows the track across the U.S. The event occurs April 8.
Western Horse Watchers Association 