Was it specifically a chiropractic you wanted to see or would an osteopatch do ? If so there's the British School of Osteopathy on Borough High St which has special rates. It's not far from Borough tube, heading towards London Bridge.
I recommend an osteopath called Paul Fiander based close to the Hilton Hotel in SE16 on Rotherhithe Street(oops not SE1) his number is 07732 067761. He has so far sorted out problems for me and 2 friends ... he is also a nutritionist !