Server Side Rule reply form noreply-mailbox

No, not possible with any of the default methods. Macro would do, but that's client-side. For server side, you will need a custom transport agent.

Does the no-reply@xyz.com have a mailbox associated  with it? Is it accessible via Outlook? We've set up our Help Desk with an auto-reply alert like you are asking that is server based.

Here's a quick one I did in my Outlook 2013 + O365.

Otherwise, as Vasil suggested, an Exchange transport rule would be your best bet.

Just be warned.... The Help Desk sometimes receives email messages from agencies that will auto-reply back.. This creates a mail loop of epic proportions. Within minutes, you can have thousands of replies going back and forth. To avoid this, I customized the auto-reply rule to exclude messages with 'AUTOREPLY:' in the subject. Then had each company we work  to do the same.

@Eric Woodford:

Thank you for your reply!

To answer your question: "Does the no-reply@xyz.com have a mailbox associated  with it?"
- No it has no mailbox, this makes it not accessible via Outlook.

I have found a tool called: CodeTwo Exchange Rules Pro
This tool can make it possible, witch makes me wonder how it does that...

I have posted a request on the microsoft Office page for this feature to be added.
https://office365.uservoice.com/forums/273493-office-365-admin/suggestions/33274438-allow-serverside-rule-to-reply-from-a-no-reply-add

I will post the solution here as soon as I find one!