Can your cervix be soft, high and open and not ovulate?

Doesn't matter: Your cervical position is subjective and unreliable. It is not clinically useful and is not something one needs to pay attention to unless you are in active labor. Health conclusions can not be made by examining the cervix. Home ovulation tests are available at the pharmacy if you are concerned about ovulation

Yes: The muscles, epithelium and connective tissues which make up your cervix may not always reflect the hormonal changes of your cycle . A "soft, high and open cervix" may or may not be a sign that you ovulated. There are other more reliable ways you should explore with your gynecologist (Basal Body Temperature, changes in cervical mucus, ovulation tests/kits, etc.)