I would say you do - probably a one in four shot if i had to guess. I am not sure about part time acceptances, but I have heard of some people being admitted conditionally upon completion of a summer program. I don't know much about that.
I was accepted with a 154, which isnt far off from where your at. Something SLU keeps in mind is that a ton of applicants apply there as a safety for Wash U, and that a lot of students cant afford it. So close to a 1000 offers equals roughly 250 enrolled students.
As a native St Louisian, I can tell you SLU is very regional and having contacts in the local legal circles could make a huge difference. Also where you went to undergrad (and even high school!) will be noticed. What other factors do you have? School attended, minority status, work experience, etc.?