Possible yes, certain, no. Should the evidence that Bois did not mention it be given any weight, when he mentioned something else in those places?Correlation does not always equal causation.
Yet when there is direct first-hand evidence from one of the KJV translators that acknowledged that the 1582 Rheims was consulted and used, it makes it very likely and even fairly certain that the 1582 Rheims is the source followed by the KJV translators in many of those cases of correlation.