Yes. Specifically Article 12.2 of the FIDE Rules of Chess.
12.2.a During play the players are forbidden to make use of any notes, sources of information, advice or analyse on another chess board.
Two incidents spring to mind.
During the 1977 Spassky v Korchnoi Candidates Match, Spassky (from Game 10 onwards) remained in his relaxation area at the side of the stage and analysed his next move using the demonstration board at the back of the stage, only returning to the board to play his move, before retiring once more. Korchnoi protested, and FIDE (in it's usual ham-fisted way) attempted a number of solutions (that didn't involve enforcing the rules) that only made matters worse.
At last years Doeberl Cup a player new to tournament chess was using a spare board to analyse his own game while it was still in progress. When informed by the arbiters that he was breaking the rules he (a) pleaded ignorance (which we believed) and (b) immediately resigned his game.
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