In general, with regard to the issuance of foreign or tourist visas—which does not really apply in this case—applications are often rejected on the grounds that the applicants do not have any ties to their country given that they do not own enough real estate, for example. There have been cases where people were not issued visas because they had no real property. How could they? They were hit by an earthquake! All that is left is a concrete bloc in the back of the yard.
Have you instructed your officials to exercise some discretion? It might so happen that people with ties to Haiti want to return to their country even though they have lost their homes in the earthquake.