No. If you are speaking of life insurance in this case. There is no such requirement for 16 year-olds. Minors have the option of being added as a rider on an insurance policy. The guardian or parents of the child may take out a single policy on their minors according to insurance law.
In general, insurance must be prepaid. Typically, car insurance is usually sold with a 6-month interval. You might be able to find a company that will write a 3-month policy. Alternatively, you might be able to get extended payments, but this could be difficult unless you establish that this insurance is a necessity (you have to drive to a job).
The vast majority of auto insurance policies are six month policies, no matter the policyholder's age. However, most insurers offer monthly payment plans or other flexible payment options throughout the policy term.