SEC passed a rule in 2013 on spiking the ball:
To establish three seconds as the minimum amount of time required to be on the game clock in order to spike the ball to stop the clock. If one or two seconds remain on the clock, there is only time for the offense to run one more play.
While not directly applicable it shows that the conference believes if there is no time out, and the clock starts by the official on placement, then you cannot get a play off in one second.
I remember it b/c LSU lost a game to Ole Miss b/c Miles failed to call a time out quickly and after the play there was 1 second on the clock. LSU spiked the ball. Yea, I know. Would have won easily if Les had actually thought to call a time out w/o wasting 9 seconds. I think the rule was passed b/c of some event in much later game. LSU is kinda of infamous for getting off numerous plays in 4 seconds or so.