Jeter's only about 65 hits off of Rose's career hits pace, so I don't see why he couldn't catch Rose if he stays healthy and is willing to do what Rose did: Play until age 45, move to first base (or DH), play at a below-league average performance level for his last 4-5 years and possibly play for teams other than the Yankees (whoever is willing or able to carry an aging player playing at a below-league average performance level).