Radar ranging is a technique often used in astronomy. This technique relies on the fact that light travels at a finite speed (299,792,458 m/s). When a light signal is directed at a planetary body, part of this signal is reflected back. This allows us to determine the distance of this body.
In this case, however, the radar ranging technique would not allow us to learn the rotation periods of the Kuiper Belt Objects. This is because the objects are too far away. When the objects are too far away, the signal will start to spread out, leading to a weak signal.