That's not a "move", it's a "copy it over to another server, then delete the source issue".
You'll need code for that.
However, you need to bear some things in mind
There's quite lot of work to do to make this copy and delete work, and you'll need to do quite a lot of coding or scripting if you do it yourself. Two better options would be:
Have a look at our app Exalate.
(I'm biased as I'm part of the team creating this add-on)
I made a small video how such 'Move' operation would work - here
This move operation has been implemented with the 'Automation for JIRA' add-on. Check it out.
This is the automation rule which makes it all possible
You could skip the 'unexalate' action, but then you would see on the remote issue that the local issue has been removed ...
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