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For those specific examples yes—named scholarships like Regents or Chancellors are usually offered to both in- and out-of-state students at schools like the UCs.
However, in *general,* merit aid at state schools will be offered much more to in-state than out-of-state students. If you can't get one of those big scholarships at a school like Berkeley or UCLA (or say the Robertson Scholarship for UNC, as another example), you're unlikely to get any other kind of aid from them.