Actually, it is possible, but rare and only for specific circumstances.
Regents scholarships at UCB historically have offered a need-based amount (in state or out of state, meeting FAFSA need without student loans or work), or an honoarium of $2.500 in state or an amount approximating the out of state extra tuition for out of state. (Frosh or transfer eligible.)
There is also the full ride Drake scholarship for mechanical engineering majors only (separate application, frosh only).
Both should be considered super reaches at best for any applicant.
Most other campuses’ Regents scholarships do not have greater amounts for out of state or high FA need applicants (though the amounts will reduce the student contribution in the need based FA).