Do I have a shot at Cambridge med?

I was wondering whether someone could help me with this choice. I have had my heart set on cambridge until I recieved my UCAT score, which, although is considered a very good score, I am not sure whether it is competitve enough for Cambridge.
UCAT score
VR --> 710
DM --> 700
Qr ---> 710
SJT Band 1
Overall 2120
Predicted
Biology A*
Chemistry A*
Maths A
EPQ A*
GCSEs
Biology --> 9
Chemistry --> 9
Physics --> 9
English literature --> 9
History --> 9
Classical civilisation --> 9
French --> 9
Computer science --> 9
Maths --> 8
English language --> 7
I have no contexuat considerations, and am also wondering whether applying to a london uni would be good (debating between UCL, Kings and QMUL). Could anyone give me some advice.