No. Natural water is neutrally charged (unless you bring it into the vicinity of a Van de Graff gernerator or do something similar). The charge on water at some pH is 10^-pH - 10^(pH - 14) Eq/L. Thus if the pH is less than 7 the charge on water will be positive and conversely. But how would we get the pH to be less than 7? Add an acid, such as HCl, of course. Say we added enough acid to get the pH to 4. This implies a positive charge of + 10^-4 Eq/L. But as the solution is neutral there must be 10^-4 Eq/L negative charges in the water as well. These are, of course, supplied by the chloride ions from the HCl we added.