Yes, a building hoist can be used for both construction and demolition work. In construction, hoists are essential for transporting materials and personnel vertically within a building under construction. They are designed to handle heavy loads and operate safely at significant heights. In demolition, hoists can be used to remove debris and transport workers to different levels of a structure being dismantled. However, it's crucial to ensure that the hoist is suitable for the specific task and that all safety protocols are followed to prevent accidents.