In C#, it is not possible to override the less-than (<) operator, as the language does not support virtual operators. The discussion highlights that C# types like Int16, Int32, and Int64 do not have virtual operators defined, while floating-point types do have public static operators, which cannot be overridden. The concept of achieving an O(1) sorting algorithm is questioned, as sorting inherently requires examining each element at least once. The idea of redefining the < operator to sort an array without accessing its elements is met with skepticism, as it implies reliance on compiler behavior rather than a valid sorting mechanism. The conversation concludes with doubts about the original poster's intentions, suggesting that the discussion may not be serious.