There's no functionality like this by default. The best you can do is move it to a new project category and assign a "read-only" permission scheme that does not allow users to create/edit issues, post comments, log work, etc. You can even go as far as hiding it from your normal users and only allow it to be seen by some "lucky" few.
Take a look at Archiving a Proejct (https://confluence.atlassian.com/display/JIRA/Archiving+a+Project).
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