Can Epic Games Support reply to my ticket to a different email address than the one on my Epic Games account?

No, Epic Games Support can only reply to the email address linked to your Epic Games account.

If you don't have access to the email address on your account, refer to How can I recover access to my Epic Games account?

You can also view and reply to your support tickets directly on our help site without using your email inbox. Refer to: How do I check on my Epic Help Tickets online?