Yes, definitely possible. The only time you need to use our servers for production is if you choose to use our CDN and use the vanilla HTML embed, see screenshot:
If you use React, Vue, or Angular, the Animator code is downloaded and bundled with your own bundler (e.g. webpack). This should be ready to go for a Chrome extension; our servers aren't involved after installing the packages at development-time.
cdn.haiku.ai , and just including them locally in your extension, changing those CDN paths to local paths.