Yes, total of 2 animals/cabin on most flights with MUCH ADVANCE NOTICE. Personally, I would never fly any of mine as cargo even though I have ATA aluminum flight kennels (even though I know many breeders/showers who do). We use a Sherpa bag for in-cabin. Many short-nosed dogs and other animals should not be flown as cargo during certain times of the year due to heat-related breathing issues. Check the suggestions of your airline.
Here's one of our little guys getting a bit of special attention on a flight back from England:
