Yes. Each room on the Hindenburg had taps for hot and cold running water. There were communal toilet facilities for men and women, and a single reportedly very weak shower.
A Hindenburg manifest from a 1936 trans-Atlantic flight shows it carried 1,150 kg of drinking water and liquors, in addition to approximately 20,000 kg of ballast water, likely unfit for personal use. The trip would have lasted about a week.