You have to understand the context to get a meaning of this first.
- One of the friends (Chris)' pancake got stick on the ceiling fan. That's the reason why he considered himself as the winner.
- The other friend (unnamed) says it's againts the rules of their game.
- Chris questiones his friend's judgement ("Says who?").
- And the other friend gives a very general/wide answer by saying "Logic."
- Since they haven't decided the rules of the game and there are no rules about sticking your pancake to the fan or the ceiling, Chris expresses himself by one sentence which might mean different things.
Now, there are possibilities but I will be explaining two.
- Chris said "Nu-uh, you don’t get to pull that."
pull something: To carry out a deception or swindle: worried that his partners might be trying to pull something behind his back.
Which means, "No, you can't do that to me."
- Chris said "Nu-uh, you don’t get to pull that off."
pull off: To accomplish in spite of difficulties or obstacles; bring off: pulled off a last-minute victory.
Which means, "No, you can't do that."
Basically, it depends on the context whether Chris' words are complete or incomplete due to flow of conversation.