I'm sure there are a few, but good luck finding them......there's even a Connecticut Target Archers Association, but the site's rarely up-to-date (one event in 2005?) - it's hardly worth the effort, in my opinion:
www.ctarchery.org
....was interested in watching the state outdoor championships last year, but it took several e-mails over several weeks to get any detailed info from anyone.
Yes, I've heard of the New England School of Archery - can't find them on the web anymore, but here's some contact info - I think they mostly run classes in Maine or New Hampshire, with an occasional class in MA or CT:
Marcia Wyman
nesainc@aol.com
Here's a link to a 2005 schedule that includes some of Marcia's instruction:
www.acane-camps.org/train_archery.html