My guess would be that it has happened, and probably on more than one occasion. While '03 Florida did have Juan Pierre and Luis Castillo batting at the top of the order, the rest of their line up featured all RH hitters except for the platoon of Hollandsworth and Conine. That same year, the Cubs only had Lofton (who replaced Patterson) and Simon platooning with Karros. Here was the Cubs roster in 2003: Lofton, Grudz, Sosa, Alou, Ramirez, Karros, Miller, Gonzalez It's a good thing Karros hit 800 that year! I always liked what Lofton brought to the table, a change of pace...not so much that he was a lefty but a different type of hitter than the rest.