Hello Alex, and welcome back to the community!
Some years ago one of our Shakers (wmvanstone) modified a script to upload all data from his Shake(s) to DropBox, here: How to download the data Via internal web - #3 by Stormchaser
If you don’t need to read real-time data from that remote server, then yes, a standard file upload should be enough. Maybe the link above is something that can help you set up your system.
Let us know how it goes!