Yes. Follow the instructions for logging books in Beanstack, but be sure to leave the title and author blank. Instead, just enter the total number of books read in the "How many times was this book read?" box.
For example, if your family sat down for a reading session and finished eight different books, you could simply put "8" in the "How many times was this book read?" box to log them all at once. These books will show up as "Logged A Book, But No Title" in your Beanstack reading log.