I don't think so. The atmosphere on Mars is exceedingly thin. One could possibly arrange a hot-air balloon, but not from combustion.
A good possibility for air travel on Mars might be a hydrogen filled balloon surrounded by a nitrogen gas envelope, (a combination that would work well on this planet as well, and was suggested about a hundred years ago).
Mars has the potential for having some very energetic wind-storms, so the weather would certainly be a factor.
Railroads on Mars might be the preferred method of getting around, and would be relatively weatherproof. Good for carrying freight as well.
Of course, one might need nuclear energy to power the locomotive, but how did you happen to get to Mars, anyway, if it didn't involve nuclear energy at some point?