Yes, but very few.
A key point to remember is that the Haitian Revolution lasted 13 years, and comprised a number of smaller conflicts. To the best of my knowledge, when the revolution broke out in August 1791, there were no cavalry units stationed in Saint-Domingue, but the colonial maréchausée (a militia of mostly free coloured troops) were frequently mounted. These may have been the units you have seen mentioned as capturing Boukman in November 1791, though the reference I have to his death says he was killed by the Cap Français regiment (a colonial militia) and doesn't mention cavalry (here, I'm using Fick, 'The Making of Haiti', which cites several primary sources;
During the early years of the revolution, dragoons were sent to Saint-Domingue from France, as well as being recruited locally. In 1799, during the War of the Knives (Toussaint against Rigaud), Toussaint fielded cavalry who were a mix of French and newly-freed Africans. An English observer noted that they lacked carbines and were armed with pistols and sabres only, and dressed in blue coats, cocked hats and half boots, with a minority uniformed as hussars.
In 1802, when Napoleon sent the Leclerc expedition against Toussaint Louverture, the 19th regiment of chasseurs were part of the invading force (though they didn't arrive until late March, as opposed to the beginning February when most troops arrived). All other troops were French regiments of the line. The Osprey 'Napoleon's Overseas Army' has a plate with a colonial dragoon in Saint Domingue, with all-green jacket, round hat, white trousers and green housings etc on the saddle. It notes that as with Toussaint's forces I mentioned above, troops and uniforms were mixed up between what came from France, troops in Saint-Domingue and what supplies were locally available. Which at least gives you a bit of license when it comes to minis...

I have most of the histories written at the time and there are only limited accounts of mounted troops in action.