It definitely is possible, but it's not totally comfortable – it's a bulky model, and you will, most probably, need to check it in. There are some airlines that do allow baby luggage (that you take up until the plane, then is taken over by the stewrdsň, but this depends on the airline and also on the age of the child(ren).
Otherwise, the checking it in is your only option - nad it is possible, however, sometimes, the handling can get a stroller scratched or even damaged. This is not a rule, just does happen from time to time. Which is where the trend of tiny travel strollers came - people wanted the strollers with them.
Ideal is to check your options with the airline(s) of your choice, and be ready to have to check it in.