As far as I know, I do not know of Ice-breaking game in an orientation course. Maybe there is, I suppose. Maybe just simply breaking ice.
To me, it is just a term used to describe the event of:
When two or more person, are quiet, strangers on the first day of class or orientation course, not on speaking terms, etc
and someone suddenly say Hello or something to the other person, therefore breaking the silence.
This can also be known as ( Break the ice)