No, WinSCP does not have such functionality.

But you can easily "calculate" the unique numbered filename in your batch file with a code like this:
How do I increment a filename in batch?

And then you can pass the "calculated" name to WinSCP script as shown here:
https://winscp.net/eng/docs/guide_automation#parametrized

For anyone curious I was able to get my use case done by, downloading a zip file from my server instead, scheduling the download in Windows Task Scheduler. Then 30min later running a batch file that renames then robocopy's with the /mov parameter also with Task Scheduler. sigh XD

I see what might also be happening, my "File" is actually a folder and series of many subfolders instead of just a "File" what do you think I ought to do there?

Hello, I am close to success setting up my use case but have run into a final hurdle. I have set up a batch file to run a script for WinSCP to download a file from my server. This is working, but WinSCP behavior appears to default to overwriting an existing file by that name vs doing something like file, file (1), file(2), etc. I would these files to stack up on my personal drive to serve as a log from my server instead of being overwritten. Is there an alternative parameter for the get command that I am missing?

For reference

Batch:

WinSCP passed Script: