To answer the question, yes, over a regular network. I would guess FTP might already be set up on your linux box. If not, it should be pretty easy.
There are a lot of TFTP software apps that will be both a server and a client.
Here's a good one for free:
http://www.solarwinds.net/Tools/Free_tools/TFTP_Server/
I can't recommend one for Linux, but you can easily google them.
TFTP works well for transferring files quickly and easily. You don't have to worry about setting up SAMBA or permissions or whatever.
If you're going to do it a lot, then yeah, go ahead