Of course. no different from saying 'I'm taking x amount of money on holiday will i be able to find a hotel?' - the answer is yes, just find the cheapest hotel
firstly the university you are studying in - why not apply to living in halls?
there are alternatives to halls too, you will find a lot of students house-sharing and all chipping in on the rent and bills. ask around and see whats available. most of the time they are always looking for an extra lodger
alternatively if you'd rather live alone then find the cheapest place thats on rent possible, you may have to travel to some crappy part of London but they're really not as bad as some people make out. i've lived in brixton, people said it was a dangerous place. it really wasn't, found it very vibrant and loved the fact i was so close to the tube station.