No, Darius the Mede and Darius the Great are not the same person.
Darius the Great, also known as Darius I, was a king of the Persian Empire who reigned from 522 to 486 BCE. He is well-known for his administrative reforms, building projects, and for expanding the empire to its greatest extent. Darius the Great is famous for the construction of Persepolis and for implementing a system of satrapies, or provinces, to efficiently manage the vast territories under his control.
On the other hand, Darius the Mede is a more obscure figure mentioned in the Book of Daniel in the Hebrew Bible. He is described as ruling over Babylon after the fall of the city to the Medes and Persians. There is some debate among historians regarding the historical accuracy and identity of Darius the Mede, as he does not appear in known historical records of the time. Some scholars believe that Darius the Mede may represent a title or may be an alternate name or confusion with Darius I.
In summary, while both share a similar name and are connected to the period of the Persian Empire, they refer to different historical figures with different roles and significance in history.