Currently it isn't possible to edit a word document inside JIRA without having to perform the steps you've mentioned. There is a possibility of this being viable in Confluence, but not in JIRA so far.
Also, I couldn't find any documents, plugins or improvement requests to do this inside JIRA, so in case you want to, feel free to raise an improvement request under jira.atlassian.com regarding to this matter.
Pietro T. Schaff
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