are the characters the kids of the og show?

heyy i just finished s1, and darren's dad mentioned something about his time at hartley? so i was wondering if the characters in the netflix show are the children of the characters from the other show. i can't watch the og show honestly, i tried but it was too boring 😭

if not and if someone's watched the og show can you tell me how similar it is or if the characters have the same names and stuff like that? or fun facts / references to the original