Probably not. The standard way that automated replies are handled is specified in :
RFC 3834: Recommendations for Automatic Responses to Electronic Mail
https://datatracker.ietf.org/doc/html/rfc3834
"In general, automatic responses SHOULD be sent to the Return-Path field if generated after delivery. If the response is generated prior to delivery, the response SHOULD be sent to the reverse-path from the SMTP MAIL FROM command, or (in a non-SMTP system) to the envelope return address which serves as the destination for non- delivery reports."
"A Service Responder MAY deliver the response to the address(es) from the >From field, or to another address from the request payload, provided this behavior is precisely defined in the specification for that service. Services responders SHOULD NOT use the Reply-To field for this purpose."
Which is basically there to ensure that for instance, where someone sends an email but sets the reply-to address to be a distribution list (not uncommon), that automated emails only end up with the sender, not distributed far and wide to a group.
You might be able to work around it by setting the form to use the From:
field to show the intended recipient's address (so it will show as coming from them, but the SMTP Mail From will still show you), so Outlook would then be able to reply to them that way.
However, unless you've got protections in place such that you know the sender's address is definitely genuine I'd advise against automated replies. Receiving spam yourself from a form can be bad enough, but if the spammer uses a 3rd party's email address in the form (which is commonly what they'll do), your auto replies will essentially become spam emails to that 3rd party email, and you risk them flagged them as spam and you getting blacklisted.