Drinking water from the bathroom tap might not harm you, but it's not the best choice. While kitchen tap water is generally safe due to its direct connection to the main supply, bathroom tap water may come from a storage tank, which could be exposed to contaminants like bacteria or even debris. Older homes might also have lead pipes that can contaminate bathroom water.
Additionally, bathroom taps typically aren't filtered, unlike many kitchen taps. For the safest drinking option, stick to water from the kitchen or use a tested water purifier.