Well this seems like a silly question. There is a lot of things I could live without. I could live without poison, and illness and heartbreak. Life would be pretty great if I could avoid those things.
But on a serious note - I could live without Facebook. I secretly hate it. I like twitter a lot more, but Facebook is better for family stuff and pictures. But I end up hiding 80% of my friends from my timeline, and I have realized I don't like half the people I am friends with. Last night my friend Leslie was talking about someone and she said "she's not like my real friend - she's just my facebook friend". Perfect explanation of the "relationships" people have these days.
So I could totally give up Facebook. But I won't. Unless someone offered me money.