Well do you mean without Internet as meaning no cloud storage like Dropbox, Google drive, Icloud or Onedrive. I use those for files sending for people not in the same building.
Also do you want to do this as a one time thing or periodically. The routers of today come USB ports and or ESATA ports (external USB drive or a Flash drive). If you want to be able to do this all the time then this might be a good idea. You have to allow both computer access to the storage device. Now also depending how much data just a plain flash drive will work. Prices are way down you can get a 64 GB flash drive for 25.00 at amazon.