A combination of hug and rape. It is essentially being hugged against your will, often by a random, sketchy guy.
I was just walking down the hall, minding my own business, and Steve hugraped me from behind.
A hug that includes improper touching of the back or pressing ones chest against the hugging partner.
Also refered to as 'the German hug'.
Andrea: 'I swear to god, that weird mother fucker at work hugraped me again.'
Julie: 'Isn't he German?'