Can an app with root permission access another app data?

I have an rooted android phone and use root apps like greenify regularly.

Recently i have installed my Bank application on my phone and the bank application is not allowing me to login as my phone is rooted. Even in last pass also it gives an warning that it is vulnerable as my phone is rooted.

I wanted to know whether one app with root permission can access other apps data.

For Example:

I have given complete root permission to greenify and can greenify access the stored files on some other application just like lastpass(I haven't given root permission to lastpass. I knew lastpass encrypts data on client side too. But i wanted whether it can access the data irrelevant of its encryption ) .