I took this snapshot of the moon about 20 minutes after sunrise:
Morning Moon in Fairbanks, AK, USA, 9am AKDT
It often possible to see the moon during the daytime, but usually we don't notice it because (1) we aren't watching for it, (2) we don't know what direction to look, and (3) the moon doesn't stand out as much in the sky during the day as it does at night (lower contrast).