No, wallpapers should not do any damage to your wall. They can even serve as a protective layer and preserve the wall underneath it. The trouble, however, would be if the wallpaper was misapplied. Incorrect adhesive, for example, can leave unremovable marks on your walls, and utilising the wrong tools for installation can lead to chips and scratches. It may be best to leave the wallpaper fitting in the hands of professional wallpaper installers to make sure that your walls remain unscathed.