If you want to give Harvard a try, as @blossom says, go right on ahead. Understand the numbers , your chances are not good. The math is right out there. I believe every student who wants to apply to certain schools should go on ahead and do so.
So apply to Harvard and other schools in your wish list. That’s the easy part. The tough part of college search is finding schools that you like that are not so selective and well known. It’s easy to cherry pick the big name schools off any list that is easy access. Finding colleges that are guaranteed ins and affordable that you can like is a challenge. Make sure you spend the time researching those type of schools too. Don’t end up spending more time on the schools where you have the least likelihoods of attending. No reason not to give he reaches a try, but don’t schloff off the real possibilities.