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The answer is yes, You can compress water, or almost any material. However, it requires a great deal of pressure to accomplish a little compression. For that reason, liquids and solids are sometimes referred to as being incompressible.
Likewise, people ask, what happens if you compress water?
Scientists have turned water into ice in nanoseconds, which means really, really fast. "Compressing water customarily heats it. But under extreme compression, it is easier for dense water to enter its solid phase [ice] than maintain the more energetic liquid phase [water]."
Similarly one may ask, how much force does it take to compress water?
There is no definitive answer for "how much pressure" is required to compress water, because you need to first answer "how much much do you want to compress it". Water at room temperature has a compressibility of approximately 4.6 x 10 -10 Pa -1.
So at this temperature (just below 0 celsius), you can compress ice to get liquid water, but further compression results in more ice, with a different structure to the usual 1h ice. This isn't so surprising, because water expands as it freezes.