nothing is impossible, just more difficult. bust your a$$ on away rotations, get great LOR's, apply to many (60+) programs, take step 2 and rock it, then sit back and wait. i wasn't too far away from where you were and I matched in EM (I also couples matched, which is a bit more challenging). MANY people on this website are gunners (sorry guys but it's true), so don't let their numbers discourage you. EM is competitive (whatever that means), but it's not rocket science. Most places aren't looking for the someone who will find the cure for cancer, rather, they are looking for someone who demonstrates a basic aptitude for medicine, someone who is willing to work hard, not complain, and get the job done.
All programs need a number (board score) just to sift through the applications. Many programs will receive 500+ applications each year for only 8-16 spots. They can only interview a certain number of people per slot, so that being said, if they spent a lot of time reading every persons LOR's and personal statement, etc., they would never get around to interviewing people. So some will have a "cutoff" score that they use just to reduce the # of app's that they have to read.
If you do your away rotations, or home rotations, and find out that EM is really your calling (or just something that you want to do), go for it.
Best of luck to you whichever path you choose.