No, breaking refers to the act of crossing the threshold. Some states may not even have breaking and entering on their books. Trespassing is where you violate signage or warning; verbal or written.
"People often confuse "breaking" with some overt act used to gain entry, like kicking in or prying open a door or window. But as Tiger noted, "breaking" refers to the violation of the "plane" which constitutes the natural boundary of things like walls, doorways, or window openings - so even reaching THROUGH a threshold or imaginary "plane", such as an open window where the natural continuation of the wall (or even car door) would constitute the plane broken by the reaching."
