Can all of the earth water evaporate?

In long geological time, all (or essentially all) of the Earth's free water will be evaporated. When the Earth is engulfed by the Red dwarf stage of the Sol's life cycle, the water will all evaporate.

Another condition may cause the loss of the Earth's water. This is when the interior of the Earth cools sufficiently as to halt the movement in the Mantle, and this will essentially extinguish of the Earth's magnetic Field.

This will lead to the collapse of the Van Allen radiation belts, and the Solar Wind will be able to strip the Earth of atmosphere and any water vapour.

These two events are a long time away. But the second of these events was probably the cause of the present condition of Mars. No water and no atmosphere (essentially).