Is it possible to find an algorithm with a lower time complexity than constant?

No, an algorithm with a time complexity lower than constant (O(1)) is impossible, because constant time means that the operation is performed in a fixed amount of time regardless of the size of the input data.

This is the minimal theoretical limit on execution time, because even just reading the input data or performing a single operation takes some fixed amount of time.

Therefore, it is impossible to invent an algorithm that works faster than in constant time.