This app was mentioned in 5 comments, with an average of 1.20 upvotes
This module completely disables the My Day feature.
https://play.google.com/store/apps/details?id=com.john.mydayoffxposed
Is this what you're looking for?
Yes, there is, as long as you have root and Xposed framework: https://play.google.com/store/apps/details?id=com.john.mydayoffxposed&referrer=utm_source%3Dreddit
If you have root and Xposed framework, you can turn this off, using my module: https://play.google.com/store/apps/details?id=com.john.mydayoffxposed&referrer=utm_source%3Dreddit
However, it is only for the original Messenger, and not Messenger Lite.
My Day Off Xposed ($2.99) https://play.google.com/store/apps/details?id=com.john.mydayoffxposed