No, there are PPL(G), UK CPL(H&G) and UK ATPL(H&G). The latter two are no longer issued, and JAR-FCL equivalents do not have Gyroplane privileges.
So if there is no CPL for Gyro's, could you fly one for hire or reward with just a PPL? I think I know the answer, but I'd be interested to know what the thinking is?
SS