Not really. There was a real attack (provoked by the US) on Aug 2nd, and Johnson didn't want any evidence before escalating. Johnson even lied to Congress and the public about his plans before attacking. It's clear he would have used any excuse he could gin up.
https://en.wikipedia.org/wiki/Gulf_of_Tonkin_incident
tldr: Jim Morrison's dad started the Vietnam War when he falsely claimed he was attacked off the coast of Vietnam by the North Vietnamese.