Unless the virus is instantly destroyed when a droplet evaporates to the surroundings then aerosol transmission is certainly possible. I'd have to calculate to be certain but many of the small droplets coughed/sneezed into dry air are going to evaporate in seconds - leaving the virus in open air?
A quick google suggests the mean size of a cough drop is about 8 microns. If I were guessing I'd say most don't ever reach the ground due to their small size, they are more likely to evaporate leaving the virus aerosolised.
I'm buying a hazmat suit