Living in London, do you guys think Brunel would still give me accommodation?

Yes they will!

I'm applying for Brunel, however I want to stay on Campus for my first year (I do live in london)... Do you think they would actually allow me as there are people from other places travelling and I'm sure they have a higher chance than me?

If you're from Uxbridge then probably not.
If you're from a bit further away like even Wembley or somewhere then yes.

Though I know someone who lived down the road from Uxbridge and managed to get a campus place in her first year so it should be fine :P