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As long as you very clearly indicate the date at the beginning of each chapter, so the reader isn't lost, sure, go for it.
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#4: Attribution notice removed
Source: https://writers.stackexchange.com/a/12267 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/12267 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/