Not that we know of?

Goblin names tend to be descriptive; Brayflox Alltalks is named as such likely because she talks to everybody (and often) despite goblins generally being rather brusque, and Quikthinx Allthoughts is probably named as such because he's a quick thinker who wants to control all thoughts.

The Longstop is probably named as such because it's somewhere you're stopping at for a long time. Conversely, the Shortstop is a place you're stopping at for a short time.

(And there is no "longstop" position in baseball. In cricket, but not in baseball.)

That's not to say there are no Eorzean sports, or that they don't have any analogues to real-world sports on Hydaelyn. Just that the goblin place names are... probably not referencing baseball (or another real-world sport).