Most likley no - the Grande Amrée was short of anything - especially horse power, Davout had to leave behind 12 pdr guns.
Other French medical officers did also - in my view as important as Larrey - organised medical systems, such as Percy - who organised a very efficient system by getting onto the battle field - or close to, equipment, material and doctors.
So - most likley there was no flying ambulance (which was a sham scheme in my view anyway) - how to transport hundreds of casucalties in some few waggons?