I have a github page for my organization where I would like to call data from a 3rd party api where I need an auth token. Can I publish this github page without having the auth
In short, no. If your GitHub repo is public, all its assets are public. You can make the repo private and it will still publish on GitHub Pages if named with the username.github.io
convention or if it has a gh-pages
branch. While that's an option, that's not necessarily the right thing to do.
If your key is in your GitHub Pages repo, it sounds like it's used for client-side API calls in JavaScript. If so, your auth token is publicly visible whether it's in your public repo or sent in your client-side files to the browser. This is usually fine. The third-party API might have generated the auth token based on your website's domain, and restrict calls using that token to pages originating on your domain. Otherwise, they might require the auth token only for logging requests and monitoring usage.
If the auth token is truly meant to be private, then you may need to write private server-side code to call the third-party API. Your GitHub Pages site could then hit your service for the data it needs. I've had to do that before where the web API had security concerns, but I still needed to retrieve non-sensitive data from the client-side.