In a common sense, “wet” describes something that is covered in or saturated with liquid, especially water. In that sense, water itself isn’t “wet” because it is the liquid that makes other things wet. So, you could say water isn’t inherently wet—it has the property of making other things wet.
However, if you define “wet” as the state of being a liquid in contact with a surface, you might argue that water, when in contact with something, could be considered “wet.”