Verb; To steal a hug without consent of other.
"The tactics of the day-care was to hug-rape the kids who didn't want to be part of the group hugs."
When somebody, usually who you don't like, forces you into a hug, usually by running up and almost strangling you into a hug and the only way to get out is to hug them back.
Brad: "So dude, last night that chick Maranda came up to me and gave me a hug-rape, so I was forced to hug her back."
Johnny: "Ewwww, nasty! She needs to learn nobody likes her."