Even if there are not state level requirements for who can do testing, there are often state or industry requirements for paying for and using the results of the testing to provide therapeutic or educational services. For example, to pay for autism services, and insurance company may require that the testing be at least overseen and "signed off by" a licensed psychologist or pediatrician. As a result, there is likely a de facto requirement that a doctoral level, licensed psychologist play a major role in the evaluations. I am not aware of states that have or require a specialty "neuropsychology" license, but licensure regs (and, even more importantly, malpractice insurance policies) will typically say that you can only practice within your scope of training and experience. This will only be reviewed or scrutinized if you are accused of doing something wrong.