welcome to the forums~
this is possible, and should be a fairly simple edit to the file naming script
if you’re using one of the preset scripts, you can go to Options → Options… → File Naming → Edit file naming script… → Script → Copy the current script, and then remove everything before and including the first / (unless you’re using preset 3, which might require some extra modification)
if you’re already using a custom naming script, it should be similar, but I can’t say for certain without seeing the script