Is it possible to match speed of the historic Ottoman conquests? It's the year 1574 and I'm doing pretty swell after 5 games of restarting by 1520 (never played this game before, kept screwing up)

However, I look at a map of Suleiman's conquests and cry in a fit of jealousy. Is it actually possible to match these expansions? I've tried to abuse vassals as much I can but I'm still on just reaching Vienna and Cairo now. 