Yet this could be done. And in such a way that doesn't ruin anything or give away too much information.
Sends message to player: %player wants to do a %stat check with you. This is completely OOC and for determining a roll for RP. Do you accept?
Would allow players in instances where conflicting poses or unknown ability for the sake of competition could be settled in a fair way with some +RNG. I especially like this idea when it comes to bartering player to player. Charisma checks could be invaluable in haggling.
What do you think? Do you think players being able to stat check each other with consent could be helpful to maintaining balance in RP?