During a septorhinoplasty is there a chance where someone can develop empty nose syndrome?

Empty nose syndrome is due to aggressive turbinate reduction. This can be done at the same time as any type of nasal surgery. There are many ways to reduce the size of the inferior turbinates and more conservative techniques can minimize the chance of such a potential problem in future.

I haven't heard of a "choking like" sensation with the empty nose syndrome, but rather a sense of that nostril being very widely open because you do not feel the resistance of air going through. This is slightly akin to breathing through your mouth where you get somewhat breathless because of the lack of airway resistance. Also, because you will be lacking the mucus from many less intranasal mucous glands, the air tends to be much drier with crusts forming. Also, bacteria could start growing under these crusts producing a foul smell. In order to produce this syndrome, a significant amount of turbinate tissue must be removed. In the majority of cases, where this procedure is being recommended, the turbinates (especially the inferior ones) are hypertrophied with either excess, mucous membrane &/or bone. So a judicious removal of the offending areas usually does not produce this syndrome. Also, in the majority of cases, it's just the anterior part of the inferior turbinates that is removed. 

Empty nose syndrome is real but quite rare. I have never seen a case and I perform turbinectomies on a regular basis.