Thank you for your patience with this ask. This is a feature is available on Teams web client now. We are currently testing the functionality of extending drag and drop support of file attachment directly from Outlook to Teams app. We will share an update as soon as one is available.
We are now preparing for the roll out of Tasks in Teams which will integrate additional features integrating To-Do and Planner. This includes additional list views that also extend to tabs in teams. Further announcements about additional integration in our overall Tasks coherence effort will follow.
You can follow the rollout via our Roadmap item: https://www.microsoft.com/microsoft-365/roadmap?searchterms=57213. To see a preview of the experience, please visit https://youtu.be/rTATVGroEsQ.
Integration with Outlook is planned. We will update you as we have more details.