Yes, CoDrone is compatible with Chromebooks! We currently have a Snap app, which you can download here. You can use that for visual block coding, for younger learners to get exposure to programming.
If it's text-based coding you're looking for and you're using a CoDrone Pro, there's also a way to run Codebender, which is essentially Arduino running in a web browser. It's a workaround, but we've had good luck using it. You can find our tutorial about it here on Basecamp: Using Arduino on Chromebook