Do you mean can PHP send messages through Imap?
No I mean when user access to thier own inbox using IMAP right ?.
Inbox consist of incoming mails.
But can IMAP access outgoing mails ? (meaning mails that had been send by user himselh/herself)
If your email client is storing the messages in an IMAP mailbox, they can be accessed just like any other box. Most windows based clients store outgoing messages in a local folder however.