I am supposed to travel there on tuesday
Eric, if you're referring to the massive earthquake in Japan - wrong ocean. The tsunami affected the Pacific ... the Caribbean is in the Atlantic ocean.
That's not to say an earthquake in that region between now and Tuesday won't cause a tsunami.
By way of example: the tsunami from the Japan quake took 12 hours to reach the west coast of the USA, so it's a matter of hours, not days for tsunami to reach across the globe.
Hope you feel safer. Phil. over 8 years ago