No. Not even close. Unless you're taking about flagships like uiuc and Berkeley (which are not local for 99%).
This may be true in the humanities but is nowhere near true in the mathematical sciences.
My final year analysis course at college only covered a fraction of the content in the FIRST year advanced math sequence at Harvard.
As someone who went to one of those truly local state schools then taught at a #1 CS school: the quality difference in CS educations is absolutely insane. See also the "Java Schools" rant.