It’s possible; I know of someone who got into Harvard with a BTL.
The reason it works is because law schools are obsessed with the US News rankings, and one of the only ways that they can control their ranking is by controlling the numbers (GPA and LSAT) of the incoming students. So a yeshiva graduate who gets a high LSAT score is in some ways just as attractive to a law school as a Princeton graduate with a high LSAT score.
In terms of jobs, a strong majority of students at tippy-top schools get jobs that can help pay off their debts, while at lower ranked schools a strong majority don’t. So it might make sense to go to borrow $150,000 to go to Harvard or Columbia but not to go to University of Maryland. I did a ton of research about this, so if anyone has specific questions I can try to address them.