If you wish to move your email data between different email servers, you can use IMAP SYNC tool.
Please Note: This is only Free for mailboxes that don't exceed more than 3Gigs
Here is the link that you will need to use for the migration - IMAP SYNC TOOL
Step 1. On the left, Add your full email address, password, and IMAP server name of the email address that you want to move from
Step 2. On the right, enter your details for the destination email
Step 3. Click on the SYNC button and wait for the synchronization to complete
Please Check your destination email if it synchronized the emails