At least they were alive at the same time. From Genesis Chapter 5 and the Book of Moses:
*KJV Genesis gives Enoch’s age as 365. JST Genesis and Book of Moses gives Enoch’s age as 430.
** Year translated.
Lamech, Noah’s dad, was 56 when Adam died, so he likely knew him. And Noah knew (or at least could have known) everybody back through Enos, except maybe for Enoch, who was translsted before Noah was born.
Since Noah was ordained to play such an important role, I believe all the living Fathers of his time knew him personally. Enoch at least saw him in vision according to the Book of Moses.
Shem and his brothers could only have known people back through their grandfather, Methusela.
Can you imagine conversations around the dinner table? Lamech telling Noah “Yes, I new Father Adam.” Enos could have told Noah “Yes, Adam was my grandpa.” Methuselah could have told Shem, Ham and Japheth “Yes, dad and his whole city were translated and taken to Heaven.”