Well, Lithuanian prince became King of Poland, so...

But seriously, I doubt it. Poland was much better developed, with good infrastructure and administration at the time of first union. Lithuania was big, but relatively sparsly populated, not to mention Lithuania accepted Christianity from Poland - well, at least officially. That makes Poland Lithuania's big sister.
OTOH, a lot of Lithuanian boyar families made an excellent career in the PLC - e.g. Sapieha or Radziwiłl (Radivla) family. Their vaste estates made them magnates with enormous influence on PLC politics, so it wasn't as Poland fully dominated over Lithuania in politics.