There is an ambiguity in "keep water molecules together". Do you mean it keeps the oxygen together with the two hydrogens with a molecule? That was Nathan's original claim (though I think he is distancing himself from it now), and is not true.Not to be a fuddy-duddy about this, especially since I don't what started it but hydrogen bonding does keep water molecules together.
If you mean one molecule of water is kept together with its neighbour, and hence water remains liquid at room temperature, then yes, it does.