Yup! Not all cannabis strains can go purple. But Indicas tend to more often, and Kushes are mostly indica so that is how that works.
I am growing a strain called Vale Tudo Rd 1:
https://en.seedfinder.eu/strain-info/Vale_Tudo_Round_One/Copa_Genetics/
It has Kimbo Kush and Mendo Purples as its parents, so a good chance it will go purple if I can get the tent cold enough.