I was looking at an opportunity to fund a PhD myself, is there any way I can do that?

Well, you need to make up £3,100 (I think) per year in tuition fees. You also have to pay for the things you use and a place to live for 3 years so you'd probably need, as a bare minimum about £10,000. If you have the money, you simply need to write to departments saying that you want to fund one yourself and your research interests. Look through some of the ads here that say no funding available

if you're an international student you need to get between £8000 and £10000 for tution.