There is currently no export function for users.
I had a look on the marketplace and came across this add-on which might suit your needs:
Additionally there is an existing feature request to build this functionality into the jira application:
I encourage you to vote on the feature request ticket to increase its popularity and add yourself as a watcher to be kept informed of progress going forward. For more details on how Atlassian handles and prioritizes new feature requests, please refer to the Implementation of New Features Policy https://confluence.atlassian.com/support/implementation-of-new-features-policy-201294576.html
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