As multiple posters have pointed out, the serious cuts on law school admissions are GPA & LSAT, followed by LoRs and PS. The things that people think of as ‘pre-law’ are thing that test your interest, build your language skills, etc. As one poster pointed out, taking analytically, writing heavy classes will help you hone your skills- but you can take those classes anywhere.
What will make a difference is your LoRs, which you will get from your summer internships and work: it is increasingly common for applicants to work for 1-3 years before going to law school. Drexel is not a nothing university: you will have profs who know your name & care about your progress, and you will have support for getting summer internships, Neither Drexel nor Haverford will magically get those internships for you though: you will have to look for the posts, write the apps, get the LoRs from your profs, etc.
I am not dissing Haverford! it’s a great school, and there are definitely pluses. It would be an entirely different experience. All I am saying is that you won’t in any way disadvantage yourself for law school by choosing Drexel or Temple over Haverford.