I'm not 100% sure since it's law so that may change things as I guess it's quite competitive and demanding, but I got BCU at AS and predicted grades of ABB and I've received an offer from Manchester (AAB) for Aerospace Engineering.
My requirements for the unis I picked (AAA-ABB) and my predictions of ABB are far off from what I got for AS and yet I've managed to receive an offer from all my choices bar one that I need to go to an interview for first.
If I am able to get offers with my poor academic a level history, then surely you should be able to. As I said though, my situation is with engineering so it may be different with Law. If you've received ABB at AS and are predicted AAA then I would say you have an extremely good chance of being made an offer, so I guess it would just rest on your PS and reference.