Hi thmsy,
Thanks for sharing this information on your background. While you seem to have some great academic and work credentials, I have to think that 620 is going to put the schools your mention into the reach category. Yes it is possible to break into HBS with a 660 like your friend mentioned, but a 620 is about 10 percentage points below a 660, according to the GMAT site. If it is imperative that you apply this year and don't expect your score to rise, you may want to broaden your list of target schools. Or if not, perhaps you can wait a year and dedicate several months to the GMAT to help increase your score.
Best of luck,
Daniel Richards
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