Do you mean current on the 767 or in current flying practice?
If you're asking about the 767, then no, you do not have to be current on type to do the 'short' course. Lots of guys have flown different types since getting their 757/767 ratings but they still do the type-rated course. If it's on your licence you get out of HND early for good behaviour.
Current flying? I don't know the answer to that one since everybody who's applying at the moment seems to be pretty well qualified and up-to-date with their tests. That's not to say you can't apply; I just haven't heard of anyone who isn't current joining the Company.