Yes, the two children on a seesaw would still be balanced if the seesaw were brought to the Moon. Balance on a seesaw is determined by the moment (torque) caused by the weights of the children and their distances from the pivot point (fulcrum).
While the gravitational force on the Moon is about one-sixth that of Earth, this affects all weights equally. If the two children have equal mass, they will still exert equal forces (weight) on the seesaw, albeit smaller due to the lower gravity. Therefore, if they were balanced on the seesaw on Earth, they would remain balanced on the Moon as well, provided they keep the same positions and maintain their masses.
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