The closest you can get to flying is by obtaining the "wings" item. This item allows your Stickman to fly for a short distance, but it doesn't give you full control over your movement in the air like a helicopter would.
Stick RPG Complete focuses on a more grounded experience, with the main focus being on exploring the world, completing quests, and acquiring items. While a helicopter could be a fun addition, it's not something that is currently available in the game.