PlayStation 4 Cross-Gen Edition: Includes a cross-gen version of Call of Duty: Modern Warfare II playable on PlayStation 4 and unlocks a free digital upgrade to play on PlayStation 5. Please note: The game disc will be required to play the PlayStation 5 version.

The answer is simple and sad. No. At this moment the only official ways of playing PS3 games are owning a proper PS3 or playing over cloud services with a PS Plus Premium subscription.