Yes - you can hang your prints in a bathroom. Just make sure that they're not exposed to direct spray from the shower.
Our "hardiest" products for bathroom use are metal prints and acrylic prints. Both products do not use any paper or canvas, and as a result, moisture is not an issue, at all.
Framed prints and canvas prints will work fine in a bathroom, as well. Just make sure that you're not exposing them to prolonged periods of high moisture from long, hot showers.