Both of your regular headlights are out but your highbeams and daylight saving lights come on is this normal Pontiac Vibe 2003?
No, it's not normal. Some 2003 Vibe's have automatic headlights
triggered by a light sensor. If you leave the headlight switch in
the middle setting between "on" and "off" they will come on by
themselves when it's dark. If you turn them off the daytime running
lights will still come on and the high beams will still work but
the headlights won't come on automatically at night.