Low ranked school to T6 - Is it possible?

Is it possible to transfer from a very low-ranked law school to a T14 or even T6 school?

I attend part-time at a law school ranked in the bottom quartile. It's ABA-accredited and not a predatory school, but it caters to a lot of non-traditional and part-time students. I took 11 credits my first semester and achieved a 4.0. I have every reason to believe I will do the same in the spring. For what it's worth, my LSAT is in the mid-170s, and I have legal experience in my full-time job.

Do I have a chance to transfer to a top school? T14? T6? HLS? Does anyone have an experience like mine?