Im pretty sure laptops have hdmi outputs not inputs, meaning you could only output an image on your laptop to a tv of some sort. You would need a game bridge to play the ps3 on your laptop, but I. You can 'run' PS3 discs in your laptop, if your laptop comes with a Blu-Ray reader, or you can buy an external Blu-Ray reader. But if you meant 'play', then yes you.
Items you will need
PlayStation 2 Emulator
DVD-compatible disk drive
One of the biggest complaints about the PlayStation 3 is that newer models are incapable of playing PlayStation 2 titles. While you could always play PS2 games on older PS3 models or, shockingly enough, on an actual PlayStation 2, there is another method that involves emulation on your PC. Playing PS2 games on your PC is not a particularly difficult task, so long as your computer is capable of running the game itself.
Playing PS2 Games on PC
Download and Install a PlayStation 2 emulator on your computer. There are many different PS2 emulators available online, which you can find in the references section of this article.
Restart your computer. The fresh boot of your operating system will ensure that the emulator has installed properly, eliminating any problems you may face.
Insert your PlayStation 2 game disk into your computer's DVD-compatible disk drive. Allow the machine between fifteen and twenty seconds to read the disk and exit out of any menus that may open.
Open your PS2 emulator and select 'Open' or 'Open File, 'depending on the emulator. From the menu, double-click your disk drive. The emulator will automatically recognize the disk and begin playback.
Tips
For best emulation, use discs with silver undersides. Discs with blue undersides can sometimes be difficult to read for a DVD laser.
Warnings
If you have an older computer, PS2 emulators may not work properly, as PS2 games require a lot of graphics processing power.