No, not unless you are able to find a specialty (non-standard) carrier that allows for that exception.

Underwriting guidelines vary from insurance company to insurance company, but typically this would not be acceptable.

States require a licensed driver in the vehicle with the driver who has a learners permit, insurance companies usually require an additional licensed driver to be listed on the policy. Their may be a minimum age requirement for the additional driver, too.

You can get a Massachusetts auto insurance quote here and get auto insurance immediately.