No. Your display, graphics card / video source, and the display cable connecting these all need to support the new standard, and the first two specifically also

No. Your display, graphics card / video source, and the display cable connecting these all need to support the new standard, and the first two specifically also need to support outputting at that video mode. The video source side is usually more forgiving, but if your display doesn't support 960 Hz outright, it's unlikely to work properly (though you can get lucky if the new standard is at least officially supported by it).