Has not been possible for ages, since Android 11 I believe. This work-around used to work, don't know if it still does:
There is a way to move files into or out of these folders without a computer or adb via multi-window and drag-and-drop.
Open the Files app.
Tap the 3-dot menu > New window.
Enter Overview (Recents) and use Split Top on one of the windows.
In one of the windows, navigate to the Android/data/... folder (sidebar > phone model, first).
In the other window, navigate to the file you want to move. (You may want to make a copy of it first if necessary.)
Tap and hold on the file to select it.
Tap and hold on the file name and start dragging it to the other window; release.