Yes! Read Your Body is facilitated by a non-profit that's warmly welcoming to people of faith. We're delighted to offer Read Your Body as a digital charting tool that's respectful of your beliefs and can serve as a trusty NFP companion.
When you first start up the app you'll be invited to indicate whether the use of barriers and withdrawal go against your beliefs. If you select this then the app will only display intimacy options that are appropriate for you: 'intercourse' is defaulted to visible if you state that you are sexually active and 'interrupted' is also available (defaulted to hidden but there if needed e.g. for interrupted intercourse in the case of a child needing attention).
All other intimacy options are completely absent from your version of the app.