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That is probably up to an editor or publisher. If by "short" you mean a few paragraphs that won't cost them printing any extra pages, it is possible they will not object. But they are profit driven...
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#4: Attribution notice removed
Source: https://writers.stackexchange.com/a/37630 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#3: Attribution notice added
Source: https://writers.stackexchange.com/a/37630 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#2: Initial revision
That is probably up to an editor or publisher. If by "short" you mean a few paragraphs that won't cost them printing any extra pages, it is possible they will not object. But they are profit driven and this biography does not serve the story or earn them anything, so if it is also going to cost them money, they may refuse to include it.