Yeah, you can! Chevy has a rail kit option that could work for you. Just a heads up, though. If you are thinking about Thule or Yakima, their current stuff might come out with something compatible soon. It is worth keeping an eye on.
Aero crossbars are designed to minimize drag, which is important for fuel efficiency. I personally install and remove mine seasonally, usually for the summer months.
With the aero bars in place, you can easily attach kayak carriers from brands like Thule or Yakima. Simply choose a carrier with clamps that fit your specific crossbars, and you're ready to go!