If your server resides on a UNIX/LINUX machine, you could add a crontab on the server. Log in using telnet and do this:
Make sure the user you are logged in as has the authority to delete these files.
Create a script that deletes the files. Try it out on some dummy files first! _;
The script could look something like this:
#!/bin/bash
rm -R -f /path/to/your/files
Be VERY careful with this script, since an incorrect (or empty '/' path) could delete the entire server!
Make the script executable by the owner:
chmod 700 script_name.sh
Edit crontab:
crontab -e
Add a line like this:
05 02 03 01 2002 /path/to/your/script/script_name.sh
Save.
This will run the script on the 3rd of January 2002, at five past two in the morning.
That should work. Make sure whoever does this is a competent server administrator.