Question [Q] Retrieve data from non-rooted GS4


My Galaxy S4 (SAMSUNG-SGH-I337) is stuck in the at&t logo, I booted into recovery clear the cache and try again but nothing, the phone is still stuck there.

Unfortunately I have two recent files that I would like to copy before trying to factory reset the phone, these files are stored in the phone memory (Download folder).

Given that the phone is not rooted, is there a way to boot the phone into recovery, connect the phone to my mac (I could connect it to a Windows/laptop) and navigate the memory and copy the files?

Thanks for any help