I can’t really remember what sections near Connecticut you’re referring to, but short answer is yes you can hang wherever. Unless it’s someone’s private property (it will be marked) just camp wherever.
Aside from shelters there are often small spots where a few tents can set up, and it’s easier to find places to hang. Lots of times if I found a nice little water source I’d just stop there; walk a distance away from the trail and find a nice little spot for myself.
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