Can you go without thinking for an extended period of time? I have split seconds here and there when I get the feeling I haven't thought about anything for a while, only to interrupt the streak with the very act of noticing.
Yes I can. That's sorta what we do in this one meditation technique called vipassana. I've been doing it for a few years.
When you get out of the habit of doing stuff with your attention all the time (thinking etc) then your attention moves in a new way. It sorta grows. It's pretty great.