No, I don't think so. Skiptime just changes the time of day and weather, tides, etc. It doesn't "do" anything in the mission.
The command time does indeed record time since the mission started. Reserved variable _time records the time since a script started. Daytime returns the time in the OFP world. It should be possible to combine these to get what you want.
Or, when you skiptime you could just add the skiptime change to the timer.