Well, in a hurricane a temperature gradient is changed into energy stored up in momentum (convection and subsequently circulation). In order to convert this energy into electrical energy you'd need to have some converter such as a windmill. The Problem with hurricanes is though that they don't appear on a regular basis in the same area and that they are strongest out at sea.
This means you'd need off-shore devices and If you don't want to cover the whole caribiansea you'd have to move them into the path of the storm.
It would make a lot more sense to use the temperature gradient which causes the storm rather than wait for a storm, and this way get rid of one energy conversion which would otherwise let you lose efficiency. This also has the advantage that it builds up in a regular pattern at a given position. But this not trivial either since we are talking about a gradient that spreads out over several kilometers in hight. But a lot more predictable and straigt forward than moving you equipment to the storm you'd like to adress.

Vala