from what I've seen, no you cannot wire the daytime running lights to make the parking lights come on, because the BCM which commands the headlights to come on, uses the same circuit for the headlights and the running lights. so if you wired the parking lights to come on when the DRL's are activated, the parking lights will also come on when you try to turn on your headlights.
yes, headlights are required here when you have to use wipers, however that is a different issue altogether. those are not daytime running lights, those are headlights during the day.