Finally Got Interview But Can't Make It, What Do I Do?

Dear Experts, I've gotten my first request for an interview! Unfortunately, I can't make either interview date they propose because I'm finishing up my degree at school. No time can be made to drive the 9 hours to the interview site because I have two papers as well as a final essay (required for my degree) due during the week of the interviews (not to mention missing classes). I've re-scheduled the interview to a later date (one week after the last interview day they gave), but I got an email from the coordinator telling me that they will be well into the interview process by the time I come and to expect some positions to have already been filled, but that she'd still meet with me. Is this a good thing? What can I do to make sure I have a chance at the position, even if I'm coming late? Help!! Our Twitter Advice Project (T.A.P.) is no longer an active campaign. To find an answer to the above question, please use the "Search" box in the right-hand column of this website.