Yes, this is possible. But really, any output option works here. First, choose the book that you want to output and view a song in the Songs tab and open the Share Menu by tapping on the square with an up arrow in the Menubar. Next, tap on the Print option to open the Print Preview Screen and tap on the Print Mode Button icon in the lower-left corner to switch the print mode to Song List. Your print preview should now show a table of songs to be outputted instead of the chord charts.
Now you can select what songs you want in your list. To do this, tap on the ruler icon in the lower right corner to open the Print Output Options Menu. Here you can choose that you want to output the book. You can also change what you want to output using the Extras section at the bottom of the menu. When the preview is just the way you like it, you can do one of two things. You can print by tapping on the Print menu in the upper right corner. Or you can also export the PDF or perform other functions by tapping on the share icon adjacent to the print button.