Pink is really in the eye of the beholder. Some people call light brown pink, some people like myself call a brown or light brown with a chalky coating as pink.
With that said, it depends on what kind of pink you mean. I know my Coronation Split Sussex lay consistent pink eggs as well as some Jersey Giants I used to have, now, for a nice chalky pink, that often just happens with most any brown laying young pullet and disappears with age, but, some it is a recurring trait. Some of my Brahmas continued to have chalky pink eggs up to year 2.
But, the most consistent is in breeds that lay light brown eggs. The pinkish egg in my avatar is from my Sussex, and always turns out like that.