Can I eat other bean varieties if I am sensitive to Navy or Kidney beans?

The navy and kidney bean antigens Vibrant uses are specific to those foods. If a sensitivity shows up for a certain food(s), the most conservative approach is to avoid all forms of that food (eg navy and kidney beans), including foods derived from these specific beans.
 
However, sensitivities to untested varieties (eg Pinto and Black beans) would be unknown, simply because it was not tested for.