And if it could, surely all water would have the "memory" of countless substances that once had been dissolved within it, so we should be poisoning ourselves with every glass.
Not only that - but why go out and buy homeopathy bottles? It is almost certain that some of the water that comes out of the tap has had these great homeopathic chemicals near it anyway, filtered through the ground there must be all sorts of wonderful natural homeopathic ingredients in there, by river streams in the sea and in peat bogs.
Heck, at least one molecule in every glass was likely in Jesus at the last supper...homeopathy from the Lord's healing bladder!