I just did a quick research. Haiti was affected by earthquake on January 12, 2010. They were given TPS on January 21, 2010 (in just 9 days). Well, I am considering "TPS Designation Date: Jan. 21, 2010" as the official TPS granted date, that's why. I maybe wrong too, but you can check for yourself.

So, I think we aren't out of the equation as far as TPS is concerned.

My source: http://www.uscis.gov/humanitarian/temporary-protected-status-deferred-enforced-departure/tps-designated-country-haiti