Well, I can bunny hop on my road bike. I don't think you need any particular gear besides a bike equipped with handlebars, and a rider with 4 limbs. You might be able to do it with 3.
I was going to suggest that you install a beefier fork than the RS Dart you currently have, like a Marzocchi 55. However, from the close-up of your head tube, I'm not sure that would be a great idea considering the added stresses from a longer-travel fork and your urban freeride aspirations. I would simply ride the bike and be happy with it...