Atlassian's release notes strongly imply "no". Service Desk 1.2.7 is only flagged as working up to JIRA 6.3.15.
Now, of course, there's no harm in trying it in a test system. So I did. It worked initially, but fell over when I converted an existing project to service desk, and with a new clean SD project, fell over on creating a new request.
If you're really keen on this, then I'd test it in your environment, but you won't be supported, and if you run into the problems I've seen, I doubt you'll get far. (Just bear in mind that my laptop is running a Linux I built myself, and a dev JIRA spun up by the SDK scripts, so it's a long way of a decent sane server config)
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