Comment by cygx

There's some overlap in the languages they were inspired by (eg Scheme, or the chains Modula -> Lua vs Modula -> Java -> Javascript), but as far as I'm aware, the original designs were made independently.

Now, the object systems do look similar, but that seems to be a case of convergent evolution: Javascript took direct inspiration from Self, whereas Lua's system is based on a more generic fallback mechanism for table access.