Yes this is called asymptomatic viral shedding. It happens with both hsv1 and hsv2, and it happens where ever you have it (like oral hsv1 or genital hsv1, etc.).
HSV 2 genital 15-30% of days evaluated
HSV 1 genital 3-5% of days evaluated
HSV 1 oral 9-18% of days evaluated
HSV 2 oral 1% of days evaluated
Hope this helps.
How long after exposure did you test?