Does the MailCOPA Email Program support IMAP accounts?

No.  Because MailCOPA is a multi-user email program it already does more than the IMAP protocol can support.  This means there are serious issues with the integration.

We are looking into providing IMAP support in a later release, but it will be with protected folders that will only permit features permitted by the IMAP protocol.  These folders will not have all the features available in normal MailCOPA folders.