Yes Ebola can be transmitted that way, but it is an unlikely route. The way Ebola is constructed it is very unlikely to become airborne [1], but it could increase in natural reproductive efficiency (R0). We really have no idea of the R0 for Ebola right now as we don’t have the people on the ground recording what is happening in the community.
Ebola does not have to become airborne for it to be a problem. Polio is not airborne and it has a very high R0 (5 − 7). The difference is polio is adapted for human-to-human transmission while Ebola is very unlikely to be. I don’t want to find out how well adapted Ebola can become.
[1] Something that I have noticed about the discussion here is many people are unclear about what it mean for a virus to be “airborne” (this is not surprising since most people are not virologists). What airborne mean is that the virus is adapted to spreading via small mucosal droplets. The classic virus for this is rhinovirus (the most common cold virus). Rhinovirus infects the mucosal cells of the upper respiratory tract, it causes you to produce lots of mucus, it makes you sneeze a lot releasing this mucus in small droplets into the air, the virus is hardy enough to survive in the small mucosal droplets, and it doesn’t make you that ill so you still go to work where you can spread it around your co-workers. Doing all the things required the evolution of many interlocking adaptations in the Rhinovirus genome.
Ebola's infection mechanism is nothing like Rhinovirus. While in theory it is possible that Ebola could acquire all the adaptions required to be spread efficiently by small mucosal droplets, it is really unlikely as there are so many changes required. This is why most experts think it is unlikely that Ebola will become “airborne”.