In some places yes, the horse is considered a vehicle. Some states you can get a driving while intoxicated ticket if you ride drunk.
No, but it is a means of transport. Also a cart pulled by a horse would be a 'horse drawn' vehicle.
horse vehicle
A horse box or horse trailer.
troikaTroikarussian three -horse vehical
The horse is attached to the vehicle by the traces. The traces come from the collar or breast collar, along the side of the horse and they attach to the vehicle by the heel chains, a short length of chain at the end of each trace. The traces is attached by the heel chains to the singletree on the vehicle.
A horse drawn vehicle is any movable vehicle made to be pulled by one or more horses.
Coachman
The chariot.
Ferrari is the rearing horse, Ford Mustang has the running horse.
The vehicle is a horse box - either towed as a trailer or a specially adapted lorry.
carrige
Chariots.
Chariot