Influenced, yes, but it's also important to keep in mind that Lucas was working with a lot of influences, including some that make no sense if viewed as a cohesive allegory. For instance, the power relationship of the Rebels to the Empire has parallels of the Viet Cong to the US military. In a cut scene, though, Biggs specifically (and tediously, hence the cut) cites the Empire's nationalization of private industry as influencing his decision to join the Rebels.
Lucas has always been a well-meaning, left-leaning, white American boomer. He includes relevant ideas based off that worldview in his work, but he's not making grand political statements or really even engaging with political thought in a serious manner. Star Wars is probably more timeless and better for it.
If I remember correctly, George Lucas was involved with Apocalypse Now before splitting off to work on Star Wars, so its definitely plausible that there was conceptual carry over between the two.