Hadhkardi,
I went to the Detroit ASC for fingerprinting on my scheduled date. My wife's FP date was a few days later, but we managed to get her's done on the same day too. The officer at the desk asked another officer at the back (supervisor probably) and they agreed to have her FP taken on the same day. It depends on how crowded it is and on the personnel there. If it's a slow day, they'll definitely accomodate you. Good luck!