I don't know for sure if this will work, as I haven't done it, but i've seen emails with the wrong date/time, and this is the way i'd think it happened technically, so this has a chance. If you set up your own smtp server with whatever date/time, that might do it, and cause the email program or web interface to use/see that date/time.
Email headers would give the prank away but it could work.
I have seen email with the wrong date/time, that includes wrong year.
There are other servers in the route, you can't set up the To person's POP server, and headers will give the prank away, if they check the headers.
But as i've seen emails with the wrong year, and it has been from either a spammer(with the wrong year) or emails with the wrong time, from an individual I know, and it hasn't been all emails, so I know it must've been something at their end, i.e. seems like it must be their SMTP server.