Hi thomasbricker,
This isn't a feature supported by the Mail app on iOS.
Is this an iCloud email address or another email address? Normally, these types of rules would be best set on the mailbox website. The mail server having those settings means that this could all occur as soon as you receive the message rather than waiting for a synced device to apply rules.
If you're using an iCloud email address, you can follow these steps to set up an automatic reply. Here's how: Set up an automatic reply in Mail on iCloud.com - Apple Support
Thanks for using the Apple Support Communities.