How to Open File Copies Without Using the Mouse Checkbox?

not tested:

 

tell application "Finder"
    set selectedItems to selection
    if (count of selectedItems) = 0 then
        display dialog "No file selected." buttons {"OK"} default button "OK" with icon stop
        return
    end if
    set filePath to (item 1 of selectedItems) as alias
end tell

tell application "Adobe InDesign 2025"
    activate
    open filePath with options {opening as copy:true}
end tell

Is there any other way how to open copy?

This script will open a copy:

try {
    app.open(File.openDialog("Open"), true, OpenOptions.OPEN_COPY)
}catch(e) {
    alert(e)
}  

Try this:

First, make sure to enable System Settings > Keyboard > Keyboard navigation.

Now, when you open the Open dialog:

Press Tab > Tab > Arrow down > Arrow down

This sequence can also be automated one way or another.

Well, I’m sure you know this... but if you save a file as a template—which simply means use .indt vs .indd as the file extension—InDesign will automatically open a copy.

InDesign templates are identical to InDesign documents—the only difference is that .indd defaults to open original, and .indt defaults to open copy. 

I don’t know of a way to do this from inside InDesign, but there may be a way to do it from the desktop.

Based on your screen shot, it looks like you’re on a Mac. That provides some potential solutions from the macOS side. 

If you start from the Finder instead of inside InDesign, you could select an InDesign document, press Command-D (keyboard shortcut for the File > Duplicate command), and then press Command-O (shortcut for File > Open). That will open the duplicate in InDesign .

Another option: When a file is selected in the macOS Finder, one of its properties in the File > Get Info window is Stationery Pad. That marks it as a template (using a macOS template property, not the InDesign template format). So if you need to open a lot of files, you could set them all to Stationery Pad and when you select them all and double-click them in the Finder, they will all open in InDesign as copies of their original files. However, a couple of disadvantages are that you might not want to leave all of them marked with the macOS Stationery Pad property, and also to mark multiple selected files at once you have to change the File > Get Info command to File > Show Inspector by holding down the Option key as you click the File menu. So maybe it’s easier to use the Duplicate shortcut.

(edit: If you got a notification that this was marked Best Answer, I accidentally selected that and then removed it, sorry)

My guess is that it could be scripted but natively, no.