Currently in a Ph.D. program in the sciences at a large state university, been here for past 4 years
Will get my masters if I drop out of the program
No job experience outside of summer jobs I had in college
3.5 undergrad GPA at another state school, slightly lower grad school GPA
No scientific publications
Not interested in patent law or anything like that
Not URM
High 160's on cold practice LSATs I have taken
Is there a chance for me at the top schools(like, top 8 or even HYS) if I can manage to bring my LSAT to mid-late 170's? I am primarily concerned about the effect of my uninspired grad school years on my application. Kind of ironic because I wouldn't have started considering law school if I was satisfied with it

Thank you!