Can a Lawful Evil character infiltrate somewhere and pose as Chaotic Neutral? I'd like to design an RPG where some stats can become alignments. This would be j

Can a Lawful Evil character infiltrate somewhere and pose as Chaotic Neutral? I'd like to design an RPG where some stats can become alignments. This would be just to have people identify their characters as Chaotic Stupid or Lawful Clumsy.