That isn't really observable to our naked eye though, that's Doppler shift and is the same thing that makes a sound change pit h if it's coming towards you or away from you (think of a siren as a cop car passes you). The Doppler shift, or redshift of stars and other celestial objects is how the expansion of the universe can be observed and measured.

This is all correct and is commonly known as redshift or blueshift. It’s the same idea as when a car or train passes by and you hear the pitch get higher as it approaches you, and then lower as it leaves you.

To add to it though, stars themselves (regardless of our perspectives on them) do come in different colors. Betelgeuse is an easy star to find in the night sky that has a distinctly redder color compared to most stars. It’s the left armpit star in the constellation Orion.

Stars have different colors based on many factors like their composition and how hot they burn.