Computer Science(BS) If I'm an ASU undergrad(Not Barrett) what are my chances @ Harvard grad school?

Getting into grad school is about your having high scholarship where you are and getting involved in research experiences. Also picking grad schools is about FIT with the department research interests. So you really can’t pick a grad school until you get into your upper division work and have experience with wheve your own research interests lie. Harvard grad school has specific strengths and professors interested in certain research areas but not broad across the board like a MIT or CMU. They are not one of the big comprehensive CS grad schools. Are you even looking to going to a PhD? Because Harvard doesn’t offer terminal MS.
http://www.seas.harvard.edu/computer-science/masters-cs-requirements

Seriously you aren’t really paying attention. @UCBalumnus gave you the undergraduate schools of some Harvard CS profs and you ignored all except for Maryland.