Not a viable option with 1.3Tb of photos alone!
I still haven't yet had the opportunity to setup a file server(NAS) for myself, but I always have a secondary backup of the primary backup(ie. 1 primary store + 2 backups).
Now that the backups have been created, time is not an issue for keeping them up to date, but even with a USB2 connected external drive, it takes time to build the initial backup.
I remember a couple of initial backups taking 12-14hours to transfer the >1Tb to the new drive.
USB3 has helped muchly with time reduction, to about 1/3rds of USB2 used to provide, so a full initial backup of over 1Tb only took 3-4hrs.
Imagine the time taken to upload over 1Tb to a cloud server on a connection limited to 256Kb/s!! By the time the upload has finished, I'd amass another terabyte or more in years it would take to complete!