Also:
As noted by others, not using VNC - but if you control a PC through VNC, and you have Windows Networking installed, you can use those features to enable file sharing and then just drag/drop files into the appropriate network drive. That's how I remotely manage my kids files from my study - I use VNC to connect to their desktop, then use their desktop to access their Network Neighbourhood and drop files into my PC's drive (or vice versa). It allows me to download programs onto my PC's hard drive from the net, then install them onto their PC's at a later date from their own desktops, all without leaving my desk! Cool I reckon!