Is it possible to start with your own funding end get a studentship during the second year?? thank you

Yes. I know lots of people (in arts/humanities/social science) who have done this. With some research behind you, you are likely to be able to put in a stronger proposal for research council funding.

It is very possible. But all will depend on how instrumental and initiative you are in pursuing the sources of funding. Good luck!

yes this is possible. Good Luck

Hey s. Like the others say it is possible, but don't sit around and expect it to fall into your lap. Apply hard for it in every way you can. Best of luck !

Just don't assume you'll get funding - be able to fund your PhD no matter what (so any funding is a bonus)