BBR is correct. As long as everyone had been set for at least one second (before the A player moved up to the line), then the shift provisions have been met so long as a 2nd player didn't move. The situation described cannot be an illegal shift, just motion.
The only difference from what's been described and from the interpretation that I'm providing below is, the player was moving forward in your example. So, this covers if prior to the LAST shift he was set for at least a second.
Here's an interpretation that I downloaded last year from NFHS 2002 interpretations...
SITUATION 8: Team A comes to the line of scrimmage and is motionless for at least one second. Back, A2 legally goes in motion and stops just prior to the ball being snapped. RULING: No foul. A2 is considered to be in motion at the snap. (7-2-7)
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