Can I get a certified copy of my passport here?

You make a copy of your passport and has it notarized at any location of your choosing. UPS does it very quickly.

I don't know about a copy, I just know if you are going out of the country within 2 weeks, you can call and set an appointment for 5 days before you leave, and you may get it later that day of the appointment, or the next day at a specified time given to you.