Physically speaking Dovahkiin already breaks the laws of physics. Unless you have a Dovahorse I don't think shouting on a horse would be a good idea,
I'm thinking that too, the dragonborn would, by his nature, obviously have the inherent ability to resist the force created by a shout like Fus Ro Dah... but a horse does not.... horse legs + unrelenting force = you're taking the carriage home.
Or maybe not, it depends really on how the words become the force.
Do the words become a physical force before or after they leave the dragonborn's mouth?