Technically, no, but he was the primary draftsman and motivating figure in Bush's foreign policy for the first few years of the Bush II presidency.
He was one along with Rumsfeld, Powell etc.
Cheney and Powell were in key positions for Iraq I, which used "overwhelming force" and succeeded. Over 500,000 troops if I recall correctly.
Iraq II OTOH used fewer troops, failed in the long run, and involved Bush II and Rumsfeld.
It would interest me to hear Cheney expound on those aspects. Because somebody seriously miscalculated what it would take to hold the initial "victory" in Iraq.
At the very root of these conflicts for the USA, is having political will to use enough troops to insure permanent victories, or don't bother to stir up hornets nests.
Having enough troops might mean having a draft, so that rules out most situations, where we would use sufficient resources to insure permanent victories.