Welcome to the forum!
I'm not sure if I clearly understand what you're asking. Most of the time, I would expect you'd want to use SSH and/or SFTP to upload/download to the server. I don't really know if Inkscape is capable of locating a web or IP address from the Open or Save As dialogs. I would think not. If it's possible, I would think the commandline would be the most likely way to access it. But I still doubt it. Although I could be wrong.
On the face of it though, it doesn't sound safe.
Can you explain a little more what your setup is? Why can't you download your Inkscape files to your computer, or a usb drive, or something like that?