[AC Question]

Ok, so i accidently deleted my phone... completely but i have installed TWRP Recovery , so i rented my moms Samsung S4 and i thought, if i take my MicroSD into hers, and find an app that can take backup without root permission, back it up on the SDcard, then maybe plug it into my S5 and install the recovery image or zip using TWRP Recovery tool, could that maybe fix my phone? if so can you also send me a name or screenshot of a backup tool without root permission, that i can use for that? thanks. SmartSwitch and Kies won't work and i have also tried odin flashing but no success at anything. so if this is possible pls help thanks PS you would save my day.