If there are any 26 or 27 ACT Harvard students walking around campus, they are headed to the varsity football or hockey weight room. Without major recruitment for a varsity sport, or a development slot (daddy can/will donate a building), your chances are almost zero. Take a look at all the 36 ACT/2400 applicants who have been denied in recent cycles–it isn’t pretty.
That said, you can find happiness and success sans Harvard.