No, it is not possible for a company to grows faster than the economy as a whole forever. Since the time-period we are evaluating is perpetuity, you will see that if a company grew faster than the economy did, it would become larger than the economy or at least the economy itself.
This is only possible if that company first got to 100% of their market, then expanded to other markets and captured 100% of those markets making them the entire economy.