You can't be sued, but it's still a poor plan. You're young, so now is the time to get off on the right foot when it comes to resignations, which you will probably experience at least several times in your life.
Not showing up is for losers. Go to work, tell your boss that you appreciate the opportunity, but that it's just not working out for you. If he asks you to work a two week notice so he can have time to hire someone else, grant him that.