Absolutely not, you'll destroy your data. I'm assuming that you mean JIRA Server though, and not JIRA Data Centre, which will work, sort of, but then you don't need to be migrating...
You need to work with copies of the data to do this, or do the "complete shut down, move and start new system" process. See https://confluence.atlassian.com/adminjiraserver071/migrating-jira-applications-to-another-server-802592269.html
If you spend enough time as a Jira admin - whether you are managing a single, mid-sized instance, a large enterprise one or juggling multiple instances at once - you will eventually find yourself in ...
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