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No-index an image not possible?

Has anyone used noindex to hide an image from Google? I’ve used it in the past to hide pages but a client would like to specifically hide an image used on a page. Looking at Google’s help on the subject, I should use:

User-agent: Googlebot-Image
Disallow: /images/dogs.jpg

But, I don’t think I can disallow any images using this method because they are running under a different domain to my robots.txt - ( The robots.txt implies the root domain and that image is running off?

Does anyone know if this is possible please?

It is not possible. If it were, I or anyone could stop Google from indexing files on anyone’s else’s site.

The solution for this one file, is to self host it, and use a robots.txt file on that hosts that excludes it.