Cambridge don't care too much about GCSEs, not like Oxford does. With really strong A2 predictions or/and AS levels, strong sent in work, a high result in your admissions exam, good personal statement and references - you should be fine APPLYING, and hopefully getting an interview. Actually being accepted (getting an offer) is another matter entirely. If you perform well in your interview (which obviously, you have to have been strong in all the prior things) then you will hopefully get an offer - but they might just not like you. A friend of mine just got A*A*A in their A2, far exceeding what they needed for the Cambridge entry requirements, but still didn't get an offer.
Those are good results - good luck X