Should I even apply to Harvard Law School?

I'm a sophomore at the University of Maryland. I wasn't sure what I wanted to do at the beginning of my college journey so I started out pursuing an engineering degree (my dad is an engineer and pressured me into that career path), however, it wasn't long before I knew that engineering wasn't for me. Sadly, my GPA dropped from a 3.7 to a 2.9 by the end of my freshman year. I quickly changed my major to a government and politics & criminology and criminal justice double major. The good news is that I've found something I really enjoy doing and I can't wait to apply to law school. The bad news is that my GPA is slowly recovering and I don't know if I'll be able to get it up high enough to apply to Harvard.

*My GPA is currently a 3.1 (3.3 after this semester), and if I continue to get straight A's I can get it up to a 3.55 by the time I start applying to law schools (nothing is guaranteed though)
*I've already taking the lsat (I know I took them much earlier than most people and my advisor strongly encouraged me not to but I was really determined to turn my academics around and spent my entire summer studying and taking practice exams) and I got a 179, so I'm happy I did

In summary, there is basically no job market for lawyers and Harvard is my dream so if I dont get in there or at least somewhere in the top 5 I don't even know if its worth it to go to law school

Do I have a shot? Any suggestions? Maybe wait a year and apply after my final grades come in from senior year, or do some volunteering abroad etc.?