Yes. Of course.
But you also need excellent / good GCSEs with nothing but As/A*s and Bs. Also, you have to have a strong personality, oozing persona/intellect and be an all round person who has a major interest, and many part time activities (but generally these apply to Oxbridge applicants)
If you give/get :
A*s and As at GCSE.
As at AS and A2
A good reference from your college/employer/school
An ultra good personal statement
A striking interview
An a great extra curricular record
Why not! :P