OH... UM... I HOPE U CAN MAKE IT...
IT DEPENDS ON WHEN U WILL HAVE AN APPOINTMENT IN THE EMBASSY...
AND BTW IS THERE A BRITISH EMBASSY IN CHICAGO IF THERE IS NOT THEN U MITE HAVE TO COME TO NY OR WASHINGTON DC...
TRY CHECKIN OUT IF U CAN FIND THE EARLIEST APPOINTMENT IN THIS WEBSITE
http://www.visa4uk.fco.gov.uk/

I GOT MY APPOINTMENT AFTER ABOUT A WEEK FROM THE DAY I APPLIED SO I THINK U CAN JUS MAKE IT ON TIME...

AND ON TOP OF THAT I HOPE THE EMBASSY IS NOT BUSY CAS PPL MITE HAVE STARTED GOIN THERE AS THE HOLIDAY SEASON IS COMING UP... SO I WISH U GOOD LUCK