No, the only way you'd get it is if you kissed her lips.
Her touching her lips, then reaching in the bag, and you reaching in the bag, etc., allows a lot of time and air for the virus to die. Even if you had touched something she touched and then touched your lip, the virus would have too much exposure to air to survive.
This is assuming you don't have it. About half the adult population has hsv1, and about 90% will never get any symptoms, so it's possible that you have it and don't know. If you have it already, you can't get it again. If you don't have it, you won't get it from this.
The only way to get oral hsv1 is from direct skin to skin contact, like kissing.