Is it possible? Not that this is something I expect to be doing in the very near future or anything, but can't imagine a nicer place for a wedding when I do take the plunge.
Yes, you can, and evidently it is a pretty popular idea! You can get married on a pool deck at a ritzy hotel, on the beach, in a pretty historical chapel or even on a sailing vessel.
I've seen weddings in Aruba though I haven't attended one. I think it would be very romantic to get married on a beach next to the beautiful cool water.