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How can we get to Mars faster
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what neutrons? we're talking about shielding of spacecraft moving out of earth's magnetosphere, not a spacecraft travelling through core of active nuclear reactor
the kind of radiation that is relevant are high energy protons (and alphas and electrons, with a sprinkle of heavier nuclei) from sun, mostly. there's no relevant source of neutrons
(and incidentally water is pretty good at absorbing neutrons too)
I think you are confused about how radiants work on Earth vs Space.
Again, the OP is about water "absorbing" radiation, and then being drinking water. It's not possible once past a certain amount. This is not possible.