Yes, you can successfully use SCM’s curriculum without teaching cursive. We have one book that teaches cursive writing, Print to Cursive Proverbs. Other than that one book, which you can skip, Delightful Handwriting and A Child’s Copybook Readers are only available in manuscript Hymns in Prose Copybooks are available in your choice of cursive or manuscript.
When your child is old enough and ready for written narrations, transcription, and dictation, it is your choice to have them complete those assignments in cursive, manuscript, or have them type them.