HI Son of Belmont 
No is the simple answer. ..a Bounding box is based on the Area of the geometry, so only a smaller object would produce a smaller bounding box.
My tip for making animation is to use a basic figure, no clothes, no hair etc, that way you have the least amount of geometry possible.
then , when you think you’re happy,.. kick out a “draft” render of your animation, sit and watch / analyse that, frame by frame.
Sequenced images are really useful for this.
Then go back and adjust if needed.
Hope it helps 