No, not at all. It's more like a wind turbine that runs in a constant wind generated by the evaporation/recondensation process. More water is evaporated than condensed so that the entropy balance is always positive. It sucks in heat locally and converts some to work and sends the rest to the upper atmosphere. You can think of it as a form of solar energy that doesn't need the sun to be shining at the time or place that the engine is running, as long as the sun keeps the troposphere warm.

It can incorporate a heat pump (or an equivalent phase change cycle in some alternate designs) to increase specific power, but it is definitely a heat engine, not a heat pump. Running it backwards to make it like a heat pump would be wicked hard, and besides, no one wants to try to pump heat out of the upper atmosphere.