Well, it is mathematically impossible. Traditional IQ tests have a mean/median of 100, and follow a normal distribution with standard-deviation of 15 points.
So 270 would be 11 standard deviations above normal so 1 in 17,000,000,000,000,000,000,000,000,000,000 people.
So 270 would be 11 standard deviations above normal so 1 in 17,000,000,000,000,000,000,000,000,000,000 people.