I feel like this happens sometimes, like in the aforementioned DITV social conflicts because the mechanics can provide the subtext. Like, you can say one thing and then push your dice forward (which say another thing) or declare a trait to roll (which says another thing). Back in the day, there was a time when I was brainstorming a game in which the fiction was banal everyday stuff but the mechanics involved playing meaning-filled Tarot cards, for a similar effect. There might be a scene when you go to have a chat with you boss and then the GM puts down “Death” to set the tone for the encounter and all of sudden everybody’s like “holy shit!” So that kind of thing definitely seems possible.