Our Portable Power Outlet is FAA compliant! You can certainly take it with you in your carry-on and in your check-in bag/luggage.
The TSA / FAA requirement is that portable battery packs are under 100 watt hours and our Portable Power Outlet is 97.2 watt hours. (27,000mAh x 3.6V/1000 = 97.2wh)
Here is more information directly from FAA: https://www.faa.gov/about/initiatives/hazmat_safety/more_info/?hazmat=7