Yes... -ish. Hurricanes are, in effect, a big heat engine that helps to distribute heat towards the poles from the equator. It is one of Nature's more efficient heat transfer mechanisms, among natural systems.

Hurricanes both draw heat from the ocean surface and the atmospheric boundary layer, and eject it into the upper air through convection and the latent heat released through condensation at the expense of warming the upper-mid layers of the atmosphere.. The surface level winds mix the sea surface waters into deeper layers, cooling the surface at the expense of warming the uppermost marine layers.

You don't, however, get anything for free. On a global scale the heat doesn't so much dissipate as it does just redistribute. The heat is all still there, it's just less concentrated in the equatorial surface-level atmospheric and marine layers by being distributed into upper atmospheric layers, deeper marine layers, and higher latitudes. The average temperature integrated across the entire volume of affected regions might be net lower, but not by enough to matter, and the system is still overall warmer than its long term average.