I am afraid, I could not tell any plan in this regards. However, it seems possible to achieve this using this workaround: Clone/Copy an entire JIRA project.
You may want to consider as well, creating a new project and editing the project to point to the existing schemes: issue type scheme, workflow scheme, screens scheme, fields scheme, permissions scheme, notifications scheme.
Lastly, please watch the feature request and feel free to comment: https://jira.atlassian.com/browse/JRA-7020
For Jira cloud, there is now a marketplace add-on called Deep Clone for Jira that allows to bulk-clone up to 1000 issues at once. You should be able to clone all issues of a project into another project with it.
Disclaimer: I'm the product manager of this add-on.
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