Yes, a hug can mean a lot of things and it can also say a lot about the person giving it, too.
I do not recall any real special hugs, but I do remember one person in particular, at a Pentacostal church I attended for a spell and against my will. This person's hug was like a cold fish. I'm sure some of you have had handshakes of this nature...cold, clammy and without any enthusiasm. After the second go-round, I made sure to avoid said person from that day on. It just seemed shallow, uncaring, and completely superficial.