Answer
No.
Work Step by Step
The cosmological principle (page 1504) says that the universe looks the same in every direction, no matter where we are located. There is no “special” point in the universe.
It’s like living on the surface of a sphere and asking if there is a special point on the surface itself; there isn’t.
In contrast, if one lived on the surface of a cube, the cosmological principle would not hold.