I'm pretty sure that will happen. Most of the Broadway shows Disney has done have included songs that were cut from the actual film, or have changed the words of the song depending on a "new" story in the musical.
For example:
- "Proud of Your Boy" was cut from the movie Aladdin, but it was added to the Broadway production. It is probably my favorite song in the whole show as well.
- "He Lives in You/They Live in You" melody can be heard in the movie the Lion King I believe, but you don't have "words" to that song in the movie. In the Broadway show, they have added words and those songs have become my favorite songs in the show as well.
- The words in "Santa Fe" are different in the movie than in the Broadway show, Newsies, to my knowledge.
I find myself liking songs that aren't in the movie to be my favorites in the Broadway shows.