Nope. From Wiki article on The Way to Eden
"The group quickly shows a disrespect for authority and demands to be taken to a planet they call "Eden" (a reference to Garden of Eden). Eden's existence is believed to be a myth however. The group refuses to cooperate with Kirk, calling him "Herbert", an insulting reference to his rigid and limited ideals.
The group is impressed by Mr. Spock however, who gestures with an oval "symbol of peace" the party makes with raised hands, and speaks of "The One".
"The One", who does that remind you of??? The "Space Hippies" ended up chemically burned or dead, in that episode.
This symbol they’ve chosen just gets more and more appropriate, doesn’t it?