No. Dead Space 2 (Jan 2011) cannot run on PlayStation 2.
Dead Space (1) WAS released on PS2? NO. Common myth. Dead Space launched Oct 2008 on PS3, Xbox 360, PC only. No PS2/Wii port exists. (Wii got Dead Space: Extraction — rail shooter prequel).
Dead Space Remake (2023) on PS5/PC/Xbox Series is a full rebuild — highly recommended over original DS2 for modern experience.