Was There a PocketStation for PlayStation 3? No - PS1 Japan-Only Peripheral

No. The PocketStation was a Japan-only (1999) peripheral for the original PlayStation (PS1). It featured a monochrome LCD, buttons, and infrared communication for mini-games and save data transfer.

The PS3 (2006) had no equivalent device; its functionality was superseded by the PSP, PlayStation Mobile, and later PlayStation App.