IMHO, both yes and no. 

Yes, the scientific method brilliantly actualizes the innate structure of the human mind  which Bernard Lonergan (Insight, Study of Human Understanding) elaborates as the three levels of consciousness involved in knowing. On the first level (Experience) we are merely aware of data; on the second level (Understanding) we have insights into that data, generating hypotheses, understandings, ideas that might explain the data of Experience; and on the third level (Judgement) we evaluate the understandings, hypothesis, theories generated on the second level with a view to determining which, if any, might be true or more probable. 

Science limits the data it considers to the external data of sense, but we also have internal data, data about our own inner, subjective experiences. The humanities in general consider this inner data as well as external data; and mystic discernment involves striving to understand that component of the internal data caused by the Spirit.