Hello
I think some details of the question are missing. However, I believe you are referring to a bob following some circular path. Therefore, the answer is "no": in fact, the centripetal force is equal on the earth and on the moon.
Keep in mind that the centripetal force is given by
[tex]F=m \frac{v^2}{r} [/tex]
where m is the mass, v the tangential velocity and r the radius of the circular motion. The mass m of the bob is the same on the earth and on the moon, so the centripetal force is the same.
