The simple answer is "No"

Impeachment is not criminal. Holding office is not a right and the process to remove someone from office is not a criminal proceeding and not subject to the Constitutional protections that are afforded to criminal defendants.

The result is removing the governor from public office; it is not taking away a liberty, not taking away property so it is not considered "judicial". Blago's claim that the proceedings were unconstitutional were baseless and made only for media.