Well my wife came here illegally as a child (due to being from a war torn country), and went to public school for several years in California without having a green card, until her father later applied for amnesty. I can't really speak directly the the driver's licence situation, but there is this:
AB 60 driver’s licenses are for individuals who are unable to provide proof of legal presence in the United States but who meet California DMV requirements and are able to provide proof of identity and California residency.
www.dmv.ca.gov
Also:
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