I am a biochemist and have got a low 2.1(60.something%) so far after second year of study and I am looking forward achieving a high 2.1 towards the end of my degree. I have done a summer research studentship which was funded by wellcome trust and I have two pretty good references one from my tutor(head of department) and one from my supervisor of the my summer research project. Having recently applied for a few PhD positions in OXBRIDGE but still haven't got any reply yet, I am now getting really desperate to know if I can have a chance of at least getting an interview? and if yes are there any chance of me getting a PhD position there? is it impossible? It would be grateful if anyone here can give me some idea.

Why the need and the rush to go specifically to Oxbridge? You should really head to a University that has a good research group in what you specifically want to do. Though Cambridge is quite good for some biochem stuff.

Also, things in Oxbridge operate at roughly half the speed of the outside world, so don't expect a reply for a little while yet!

What coastman said