18% of Harvard students are Asian, so yeah, he (probably) would. And, that's with a long-standing policy of "ethnic cleansing" in Asian matriculation[1].
[1]http://www.thecrimson.com/article/2008/2/19/affirmatives-of-...
But, to answer your question, 23% of total applicants are Asian-American, and 18% of total accepted are Asian-American[1]. So, yeah, little Johnny Violin is likely getting into Harvard.
[1]http://www.asianam.org/2006.htm
PS, yes, my math was totally mucked up. Thanks for pointing that out :D It should be around 8% acceptance, which is actually less than the acceptance rate overall. Hmmm... so I guess they are rejecting them in droves.
Imagine 100 people apply, 50 of which are Asian. 5 people get in, 1 of which is Asian. 20% of the total accepted are Asian, but the acceptance rate among Asians is 2% and 8% for other races.