Bouncing is introduced at the very start of the game, so as soon as you have started this game, this challenge is able to be done.
You just need to keep bouncing on surfaces that can be bounced on, try killing groups of OD Or Scabs while you are bouncing to increase the chance of getting the Badge.
Bouncing on the same platform multiple times will not give you a badge, so you must vary from bouncing locations, I usually get about 1 bounce badge per mission, and that's without focusing on bouncing, so this challenge should be easy to get.