Bob. As you will no doubt have discovered from my blog, I am an old man, long retired, and not at all au courant with job-search methods in Cayman or anywhere else.
Yes, you could apply for jobs that are advertised in the FT and elsewhere, and could certainly interview by Skype. But you might have to be prepared to fly to London (or wherever) for a personal meeting on those occasions when you make the shortlist. That's for professional-accountancy jobs. For work with local commercial companies, that wouldn't be the case of course. All you can do is keep trying, and have patience. Good luck.