The question of whether the universe as a whole spins is an intriguing one, and the answer is not yet definitively known. Our current understanding suggests that the universe does not have a global rotation or spin in the traditional sense.
Based on observations and measurements of the large-scale structure of the universe, such as the distribution of galaxies and the cosmic microwave background radiation, no evidence of a preferred direction or axis of rotation has been found. These observations indicate a high level of isotropy and homogeneity on large scales, suggesting that the universe appears the same regardless of the direction from which we observe it.
However, it's important to note that the concept of rotation or spin in the context of the universe as a whole is more complex. In general relativity, the theory of gravity that describes the behavior of the universe on large scales, the geometry of the universe is governed by the distribution of matter and energy. The universe's expansion and the curvature of spacetime play significant roles, and they do not necessarily correspond to the familiar notion of rotation.
There are some theoretical models and ideas that propose scenarios where the universe could have a net rotation or exhibit rotational effects on a larger scale, but these ideas are still speculative and not yet supported by strong observational evidence.
In summary, while there is currently no conclusive evidence to suggest that the universe as a whole spins, the nature of the universe's overall structure and rotation is an active area of research and remains an open question in cosmology.