For me, it would be difficult but not impossible. The thing is, I use the Internet for a number of things: personal administration, studying, preparing for my classes and of course, writing this blog. But I am not saying these things are all first priority for survival. Yes, it would be difficult for last for a week but I could do other things instead. for example, I could read books (I read books anyway) or I could watch movies and TV series. Or, we could go hiking. You just need to see and discover what there is around you and you can also last for a week, I am sure.
But if I ever try it, I will share my experience 🙂