No. Controlled Unclassified Information (CUI) is not classified data and it states that within its name (e.g., unclassified).
While CUI is unclassified information, it still requires safeguarding under federal regulations. CUI is distinct from classified information and resides outside the national security classification system.
There are three (3) types of Classified data from the US Government's perspective:
There are two (2) types of Unclassified data from the US Government's perspective:
The US National Archives maintains the CUI Registry and provides an authoritative list of applicable safeguarding and/or dissemination authorities, which govern that specific type of CUI.