It is not possible to have a completely purple sky. The colors we see in the sky are due to the scattering of sunlight by the Earth's atmosphere, which separates the different colors of light. The colors we typically see in the sky are blue and orange/red during sunrise and sunset.

To have a completely purple sky, the atmosphere would need to scatter light differently. One possible way this could happen is if the Earth's atmosphere contained more atmospheric particles that scatter shorter-wavelength light, such as violet and blue. However, this would also affect the way we perceive other colors in our environment, and could have significant impacts on human health and well-being. So while a purple sky may be theoretically possible, it is not likely to occur in the natural world as we know it.
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