I NEED to delete my account

I have a serious problem. Almost two years ago I posted pictures and in one of the captions I included my friends entire name. We recently googled her name and it comes up as the first search result. This picture isn't the kind of picture you wanted employeers seeing. So I have tried everything in my power to get rid of this. To the point where I deleted all pictures from that account, but it still comes up in google. I need to delete my account. I read somewhere that that is not possible. However, this was my account created and I now want it terminated and off the internet. Please help.