duty free liquor and cigars

Arriving MBJ in a couple of weeks. Can we purchase duty free liquor and high end cigars before we leave the airport to get into a cab to go to Negril? If so . where are those stores? When we arrived last year, we did the long walk to get through Immigration and Customs before picking up our bags but I don't remember any stores at least on the arrival portion of the airport journey.

Liquor...yes. Not sure about the cigars?

I usually buy my liquor and cigarettes at the duty free at my home airport in Atlanta. They deliver right to your plane.