"Pine nuts" are the seeds from the Pinon Pine, which as far as I know, only grows out in the southwest. There should not be any in Connecticut. The Pinon seeds are about the size of an English pea.
Plain old long leaf, or short leaf, or loblolly, or any other type of pine has seeds in the cones, but they are much smaller than "pine nuts". They are edible though, as I've eaten them many times with no ill effects. They are closer in size to a sunflower seed, and it would take four or five times as many seeds to get the same amount of material. I'm thinking trying to harvest your own "pine nuts" from an Eastern tree would be kinda like trying to catch enough for a fish dinner, and all you were catching were minnows. Yes, they are fish, and yes they are edible. Sure takes a lot of 'em to make a meal, though.
If I'm overthinking, and have misunderstood your question - sorry 'bout dat.