Adding emphasis to the critical wording:
Rules p7 wrote:
A given corps can be activated to move only once during a player’s turn.
Rules p12 wrote:
Please note that each corps may only be activated to move only once during player’s turn.
So you can take the Corps Movement action multiple times in one turn, but each time you must move a different corps. No corps can be moved twice in one turn, even if there is a Supply Check Interphase.