Possible? Yes. Miserable? Absolutely.
From your description, sounds like I'm at the same school as you are. I did a similar core-campus program for M3, and was in the same situation as you to start (no car, couldn't afford one, no ability to get a car loan or additional financial aid for a car). I spent the first 4 months of the year relying on public transit and carpooling, but quickly learned how completely unreliable Septa is. Not even kidding, some days spent 6+ hours a day waiting for Septa, and on the bus or subway. .That's not yo mention that Septa doesn't run 24/7, if you have early mornings/late nights/weekends on your services. Got sick from the constant added stress, got so bad on Medicine and Surg I considered dropping out (and needless to say, no sympathy whatsoever from the administration).
Finally found a used car for <$2K that still ran well enough to get me around for the rest of the year. All truth though, I still spent on average 2.5-3 hours a day in my car, with rush hour traffic. At best, 40-minutes one way if I left early enough. It was absolutely miserable. I never had enough time or energy to study as much as I needed to when I got home, and was constantly stresed out by the commute alone.
Not trying to be a pessimist, but I really really wished I had gotten an honest idea of what to expect, before third year started. You really don't want that kind of added stress on top of trying to do your best on the wards, if you can help it at all. I highly, highly encourage trying to either get a car, or find housing as close as possible to your core campus. If you're at the hospital I am thinking of, there are areas nearby where students live (check out the places where lots of Temple students live) that aren't so bad.
Best of luck.
