Yes, you can leave the AC adapter at home.

The Asus ZenBook 13 UX331UA is a thin, light, budget-minded laptop with a spring in its step when it comes to everyday computing tasks, and it’s got all-day battery life to boot.

The Asus ZenBook 13 is just the ticket for productivity-minded road warriors on a budget. It weighs less than three pounds, measures a little more than a half-inch thick, and boasts a quad-core processor and all-day battery life.

This particular model of the ZenBook 13 has downsides: It lacks discrete graphics for gaming, it chugs during lengthy CPU-intensive tasks, and it’s saddled with a dim, non-touch-sensit.
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https://www.pcworld.com/article/3305558/laptop-computers/asus-zenbook-13-ux331ua-review-a-thin-light-and-peppy-budget-laptop-with-battery-life-to-spare.html