Jan's probably the only one capable of giving a definitive answer. However, as a reasonable guess I'd say "definitely". The DVX offers user bits as well as timecode; you can stamp the time of day into DVX footage in two ways -- either by using time-of-day timecode, or by setting the user bits to record the time/date stamp.
I can't see why the HVX wouldn't offer at least that much capability.
But again, until we see an owner's manual for the HVX, that's just a guess.