No; when Jeanne headed for Florida, it was moving towards the west, making the right side of motion -- the northern quadrant -- that favored for the strongest winds. Many factors can come into play once a storm hits land, however, including downdrafts and friction (to name two).

The direction with respect to the storm changes when the storm changes direction (e.g. right front, left front, and so on), usually leading to the strongest impacts of a storm being felt in whatever region is the right front region, but the actual quadrants themselves (NE, SE, SW, NW) of course do not change. Land complicates matters, as described above.