Does water from different sources have the same acidity?

No. While ideally water should be pH 7 (neutral), the source may make the water acidic or alkaline. One lake in Virginia Beach Virginia has water that was prized for use aboard early sailing ships. It has high levels of tannic acid from the cypress trees in the lake- and it stayed fresh longer aboard the ships. (Looks like iced tea because of the tannin in it!).