In theory it would be possible by:
Using an IMAP client to collect the e-mail (such as Microsoft Outlook)
Have a filter rule on the IMAP client, so it keeps a copy (for backup purposes) and forwards the e-mail on to a specified address.
This would require a computer which is always on, running Microsoft Outlook (or another IMAP client), which has a net connection which has SMTP access.
Oh, looking messy. Probably not worth the hassle.
If the system which is used to collect the non aol e-mail, is able to run an IMAP client, then you could use that to collect both the non aol e-mail and the aol e-mail.