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From a thermodynamics standpoint, it depends how the process is carried out. If the system (the water) and the surroundings remain close to equilibrium during the entire process then the water boils reversibly. So if the change in temperature is approximately zero throughout the process and the process takes an infinitely long amount of time to carry out you can reversibly boil water.

If you were asking whether water vapor can turn back into liquid water, then yes the process of turning water into water vapor is reversible.

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