Usually, seeing as you must have an IMAP service, but we are talking about Microsoft products here!!!
(NO Microsoft don't send me holiday flight vouchers!!)
Side note........ watch out for auto-delete settings............!!
Yes I'm afraid. Although you can forward them they won't automatically synchronise across Muti devices as would be the case (once set up correctly) of an IMAP account.
This GoDaddy video and document tells you the main differences and limitations of each: