Chatgpt on this: The phrase "Walking around aimlessly 🤷" is understandable in colloquial English, especially with the addition of the shrug emoji, which conveys a sense of uncertainty or indifference. However, if you're aiming for more formal or standard English, you might consider rephrasing it slightly:

"Wandering aimlessly."

The word "wandering" often carries the connotation of moving without a specific purpose or direction, which makes it a good fit for this context. Still, the phrase you provided is perfectly acceptable in many informal settings, and the emoji adds a playful or informal touch.