I don't know that they would be matching you up against the other person from your school. I mean you will be measured against others that are applying to transfer there, but your gpa and rank may still be enough higher than other applicants to get a transfer spot, and if you are about the top 10% then you probably have a good shot. It seems that knowing how many transfers they take and possibly the amount of applicants might help you determine your chances. Good luck!