Yes, a headboard can stand on a wall without being mounted to a bed frame. In fact, many headboards are designed to be freestanding and simply rest against the wall behind the bed. These types of headboards are often called "leaning" or "floor-standing" headboards.
Freestanding headboards typically have a stable base that allows them to stand upright on the floor, and they lean against the wall for support. They can come in various styles and materials, such as wood, metal, upholstered, or even a combination of materials.
One advantage of freestanding headboards is that they are versatile and can be easily moved or replaced without requiring any modifications to the bed frame or the wall. They can also add a decorative element to your bedroom without the need for a complete bed frame.
However, it's essential to ensure that the headboard is stable and won't tip over easily. Some freestanding headboards have adjustable legs or anti-tip features to enhance stability. If you have pets or small children, make sure the headboard is secure and won't pose any safety hazards.
Overall, freestanding headboards can be a convenient and stylish option for those who prefer a simple and movable solution for their bedroom decor.