Harvard’s transfer rules say that students who have had “more than 2 years total” of college are ineligible for transfer. Other privates have similar rules, so do check. Note that they say 2 years of classes, not students in their 2nd year, not sophomores. They’re going to see all your credits on your transcript. And since you’ve applied before they’ll have your previous app. What compelling new info. do you have to offer to get them to reverse their decision? I think you’re better off getting your bachelor’s and applying there for grad school.