Yes, some states have laws about children on motorcycles, and I would th8ink this law would apply to scooters.
I think it is 8 in Arkansas and they mush wear a helmet and eye protection. Unfortunately, age has 2 problems:
(1) not indicative of size, which is more important in safety concerns and (2) most children don't carry ID cards with their age on it.
So, the law is seldom applied unless an accident occurs. If the child can't hold on tightly or if safety equipment is unavailable,
then don't give them a ride. Above all, do0n't give a ride to a child without the parents' permission (both parents).
scoot safely,