No we don't. But I don't think our flu risk is as great in the Caribbean as it is in North America, for example. We don't have winter. We don't live in closed up houses and schools - in fact, in the "winter" months people are more likely to not have the a/c on and just let the fresh air blow through. Also, because we are a small island, it takes time for the tourists to bring the germs to us, so our flu season, such as it is, starts later.
I have never had influenza, or if I have it was a very mild case mistaken for a cold. I think I may have had fever twice in 25 years - both times were bacterial infections that were not caused by complications from a virus. I just don't get bad viruses, ever.
I remember DH had an illness once that could have been flu (his temp was 105 but he was still walking around, bringing in groceries etc.) - he recovered in a few days, all was well. He has also had dengue fever twice - that was bad, but there's no vaccine to protect from it. DH doesn't get a lot of viruses, but he does get a bad one occasionally. He has never had the flu shot before, but maybe as he gets older he'll change his mind.
My DDs have never had anything like the flu - they are like me in that they don't really get viruses much, and when they do they are very mild colds that don't last long. DS is the most susceptible to viruses in our family, and I am considering giving him a flu shot. He misses school at times because of migraines, and he doesn't need to miss any more. It was very tough when he was out of school for 2 weeks in June with dengue fever - he missed all of his exams. He is one who could benefit the most from lessening his odds. He also doesn't deal with high fevers very well, and the flu would make him so miserable.
My parents get the shot because they are over 70 and the flu would hit them much, much harder than any of us. Mum suffers for a few days as a result of the shot, but she'd rather that than get full blown flu.