A carriage or buggy was a type of land vehicle that was in use on Earth, especially prior to the invention of the automobile. They were generally pulled by horses. Carriages used for cavalries; especially in the Roman Empire, were generally chariots.
In an alternate timeline in the year 2263, due to the fact that the USS Franklin was a much older starship than the recently destroyed Enterprise was, Sulu found it quite primitive, and he compared it to a horse and buggy. (Star Trek Beyond)
In 2374, on the holodeck of the USS Voyager, Kathryn Janeway walked with a holographic recreation of Leonardo da Vinci to his carriage when he was about to take a trip to France. (VOY: "Concerning Flight")