Possible to symlink a file to a web url?
Maybe a named pipe that you feed with a wget for the file?
Edit - Not wget. You can work with linx -dump. So -
mkfifo reddit
links -dump reddit.com > reddit
cat reddit
There are several nice and interesting solutions here. I especially like @ArjunShankar's fuse solution. In the spirit of keeping it simple though, perhaps a file in /etc/cron.daily
with
#!/bin/sh
cd /your/dir && wget -N http://www.host.com/images/image.jpg
would be a lot simpler and Good Enough(TM)?