The standard way of wrapping bars is bottom-to-top then finish off with tape.
If you wrap them from top-to-bottom you simply end the bar wrap with the bar plugs, you won't need the tape. It's a
much cleaner look.
(Right-click and "view image" for detail)

(My old bike)

(My current bike)
This does lay the tape in the opposite direction. But, if you wrap it snugly, it actually won't roll up. I've been doing this for 15+ years on my road and track bikes.