Well, your bookmarks are of course an outline of folders and subfolders, and printing something like that is always going to be problematic – you would typically need to tape together many pieces of paper to see the structure.  So, no we don't offer a "Print" function.  Here are some alternatives:

Alternative 1.  Print an exported .html file

• Click in the main menu: File > Export to only > Choose File (Advanced)
• Choose: Normal Export
• Choose: New file
• Choose: .html (near the bottom of the list)
• In the Choose File sheet, navigate to your Desktop and provide a file name.
• Choose/OK

When you double-click the resulting .html file, it will open in your default web browser such as Safari and list all of your bookmark names – actually they are clickable links.  You can then File > Print in the web browser and hang on to your hat.  Unfortunately the default formats use quite large fonts, so this is going to use alot of ink and paper, and also the formatting does not visualize folder hierarchy because the default header styles <h1> <h2> <h3> etc., which are used for root folders, subfolders, subsubfolders etc. all print wih the same font and no indenting.  I think you could fix this issues by adding a "style sheet" to the file header, with  some basic HTML knowledge or a few tens of minutes of help from someone that knows how.

Alternative 2.  Print a flat list

If you copy or drag your root folders from one of our apps into a text editor window, it will list all of the names (or other attributes if so configured in preferences), but it will be a flat list and not show what folders bookmarks are in.  This is probably not what you want.

Alternative 3.  Don't print – make a copy

If you have our advanced app, BookMacster, you can click in the menu File > Duplicate, which will create a copy of your Collection.  Name the copy "Old".  Then you can keep the two windows side by side as you edit the other.  You can also move and copy items between your working Collection and the Old. This is definitely the way I would do it.

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Also, remember our apps have adopted the macOS Versions Browser – menu > File > Browse All Versions in case you ever need to revert to a previous version.  It was kind of buggy in macOS 10.12-10.14 but surprisingly Apple fixed it to work nice again in macOS 10.15.  Since Apple has given this feature its introduce with great fanfare but then forget about it treatment, we've recently published a 3-minute video showing how it works.