Can you get funding for a PhD with a good 2:1 in Engineering (Cambridge)

I wanted to stay on for a PhD after I graduated (am currently an undergrad at Cambridge). The problem is my grades (I did well in IIA but unfortunately not well enough to offset my 2:2 in IB), I don't think that it's good enough to get a funded PhD given that I'm an international student.
If anyone has ever been in my position and managed to get one please let me know how you did it.