The simplest way is to just manually change the file daily. It will take a few moments of your time and requires no further scripting.
The only real solution I can think of for automating it involves storing the images in an online database and scheduling their change using some nifty scripting.
You would need either MySQL or Access/Microsoft SQL database support with either PHP or ASP pages to run the scripting.
You could modify one of the free banner management scripts from this site click here to do what you want, but again, they mostly rely on your web hosts underlying database and dynamic page support to work properly.
The short answer is yes you can do it and no there is no simple way that I can think of off-hand to acheive it.