Without social sites? Yes, but I do not want to, why should I?
Without internet overall? No. As for example here in Sweden, the banks no more handle cash and stuff, so just the procedure of paying my bills would get real difficult if I couldn't do it via the net. And alot of other things too. I do so much things online, aside from the social sites so No, I could not live (as my life is amo) without internet.