No, the argument has to do with whether motion/change is necessary to discern time, or the absence of motion/change means there is no time.
Thought experiment: Imagine a universe in motion. There is measurable time, because there are various rates of change relative to various regular rhythms in the system. God stops everything in its tracks such that, had everything continued as normal, the earth would have completed one revolution on its axis. Every molecule, atom, electron, electromagnetic wave and photon, was paused. The God restarts everything in its usual motion. Did time pass when everything was static?
I would say, for God, yes. Although nothing that had been paused would be able to know that everything had stopped. It may well be that motion is required to provide evidence of the passage of time, but since absence of evidence for the passage of time, namely absence of motion/change, is not evidence for the absence of the passage of time, we cannot conclude that time did not pass while there was no change/motion happening to measure or evidence the passage of time.
Since God saw the universe change from moving, to pausing and back to moving again, God saw time passing throughout the transitions, even though nothing in the universe could recognise time passing, because nothing other than God registered the change.needed to evidence time passing.
Hence, it is quite reasonable to believe that time can occur without any motion or change occurring in creation.