[Q] Transfering apps and data from rooted to unrooted phone topic

Hi guys,
I have a note 2 and have bought a note 4 edge recently.....I need to transfer apps with their data.....
my note 2 is rootedd so i can take a backup using Titanium Backup Pro.Can i install it in my note 4 edge without rooting it and restore my data? or is there any other way to restore apps with their data whilst unrooted?
Thank you.:):)