Does temperature have to do anything with the sky being blue?

No, temperature does not directly cause the sky to be blue. The blue color of the sky is primarily due to Rayleigh scattering, where shorter wavelengths of light (blue) are scattered more than longer wavelengths (red) when sunlight passes through the Earth's atmosphere. While temperature can influence atmospheric conditions and weather, the blue appearance of the sky is a result of light physics rather than temperature itself.