Yes! / Hotmail now supports IMAP and so does Cloze. 

To connect your account: 

1.) Tap on More (...) in the lower right of your screen on mobile (iOS/Android) and lower left on


2.) Tap on Settings


3.)  Tap on Connected Accounts to expand the section and then tap on the "Add" button. Tap on / Office 365 for Home.

4.) Enter your email and password and tap/click on connect