Sorta, but the air nation has an actual form of martial arts that we see Ang use all the time, and Sokka never seems to learn it.
He largely sticks to weapon based fighting, which is fine, but it's clear he never picks up hand to hand martial arts (which is prevalent in both the air kingdom and the earth kingdom)
Honestly would've been cool to see him take some time to learn hard martial arts in the earth kingdom, and perhaps a sokka+ang episode where he learns a bit of air nation's "go with the flow" style of movement
I dint think that's entirely confirmed, we have seen extremely little of what their culture was like as a whole. We've only seen snapshots of life soecif8cally at their temples, which of course would predominantly have benders.