NO, you cannot compress liquid water into a solid as you might be able to other substances. Water expands as it freezes (ice floats in liquid water), and because of this, when you apply a pressure to water, it tends to want to melt, not freeze.
When you go ice skating or skiing, you are applying a pressure on ice, this pressure causes the ice to start to melt (even if it is below freezing outside), when the ice melts, it allows you to slide over it much easier.
So, no, you cannot freeze water by increasing the pressure, you are actually preventing it from freezing more than your helping it.
Now take the opposite case, lower the pressure over liquid water...what happens? When you lower the pressure over liquid water, more of it tends to evaporate into a gas. if you lower the pressure enough, you can boil the water a room temperature.