Yes, Astra out of the box is fully compatible with Beaver Themer. Using Beaver Themer, one can create custom Headers, Footers, Theme Parts, Dynamic Templates (Archives, Blog Posts, WooCommerce Layouts, etc) and Astra theme is one of the few compatible themes.
Astra offers fullwidth layouts and the ability to enable / disable elements like Page Title, Sidebar, through a meta box. So you may use Astra as a solid foundation for your WordPress websites and create custom layouts you need with Beaver Themer plugin.