I thought I read somewhere that Filemaker Pro 10 Advanced Server had the ability to run a script at a specific time?

Does anyone know if this is possible?

I did notice when creating scripts, in the bottom left "compability" box you can choose "Server" and see if a particular script-step is compatible with Server.

I am hoping I can write a script that will run once a day at a specific time, without the need of having a client machine running. Anyone tried this?

Yes you can use server side scripting as long as the steps are server side compatible.

Also, if you are planning on doing and import/export with them, there are some restrictions which you should be aware of. There are specific locations of where the files is imported from / exported to. Also other FileMaker files will not work.