Microsoft has now confirmed that Outlook app on iOS and mac will soon support Handoff feature on Apple devices.
Handoff in Apple devices allows users to transfer their activities among their own multiple devices. In the case of Outlook app, you can start off on an activity like read or compose within Outlook on one Apple device (either mac or iOS device) and can continue that activity from its current point on Outlook on another Apple device (either mac or iOS device). For example, you can start drafting an email on Outlook app on iPhone and continue the same on Outlook app on mac.
Handoff feature is coming to Outlook app on Apple devices in August 2022.