Cannot move file by hovering over the back or forward buttons

FWIW, I wasn't even aware what you describe was possible. However, it does work for me with Ventura and Monterey. Not sure why it stopped for you.

Try booting into Safe Mode then restart normally. That will sometimes fix anomalies.

How to use safe mode on your Mac - Apple Support

chiliandbeans wrote:

I used to be able to do this, but not any longer. Perhaps after an update. Thank you.

What, where, how...

any examples, links, particular app...something to go on here.

Exact Mac..

Exact macOS...

old issue, new issue, what changed?

Is there a trackpad involved, make changes and compare your results...

Change Trackpad settings on Mac - Apple Support

Make sure that Sort By is set to none.

You're welcome. Glad to help.