Yeah just connect pipe from elbow to pump, then wire pump to battery and away yoqu go.
If you want to sell the trolley as a whole, I would recommend buying a vyair pump, only £50, then go to a scrapyard, or local motor factors and get an old battery Fromm them.
The vyair pump comes with male hose lock connectors thatnyou can use instead of barbs to allow for easy removal.