Can a player be forced to neatly center their pieces on the board? Following up on a question regarding piece adjustment after an accident, I was wondering if there is a rule which forces someone to neatly place their pieces on the board?

I am asking in the context of a psychological (nasty) war: if you place your pieces away from the center of the square (but still obviously within the square), the general mess can be unsettling to someone (it would certainly be for me) and give you unfair advantage.
No. 
That is subjective and personal. 
You may adjust anything during your move.
You cannot make the other player adjust them to your liking. 

It would be interesting to see an adjustment battle going on when each player took his clock time to RE-adjust all the pieces to their liking every move. Might not work too well at speed chess:)

I wonder if an arbiter could find another rule about doing something to annoy their opponent if it did happen. And which one would be punished. I hope both of them for being twits.