You want to have one email address in the From field ( email@example.com) a different email address in the Reply-To (firstname.lastname@example.org)?
Yes, you can use different email addresses in the From and Reply-To. If the Reply-To is an email alias that sends to a group, you should confirm that email is working and able to receive email.
Please note: Automatic replies, such as out-of-office notifications will be sent to the From address, not the Reply-To. Reply-To is only used when the person who received the email clicks the Reply button in their email client.