Yes — if multiple camera bodies behave normally with other lenses, the lens is the likely problem. The most probable fault is that the aperture/iris is not stopping down properly. If the lens stays too wide open when the shot is taken, the camera can badly overexpose images, which matches your symptoms.

This is generally a lens service issue rather than a camera issue. It’s not usually a practical DIY repair, because the aperture mechanism is internal and lens disassembly/clean handling are required. The best next step is to have the lens inspected and serviced by a qualified repair shop.