No. FFIX contains a whole lot of references to the FF's that came before it. Garland's name is one such. They are very different, character-wise.
Final Fantasy has "the world greatest swordman" who creates an endless cycle of power, whereas Final Fantasy IX has an "old man" trying to merge a dying world with a thriving world. The only thing similar they have to each other to a point is the way they dress (the epic cape,)