no you cant because their to different systems designs so no you cant sorry.
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No the PSP can not play PS2 games
No they do not play on a PSP
You do not convert a PS2 into a PSP. I don't even understand the question. Do you mean the PS2 games they are PS2 games and will not play on a PSP. A PSP is a Portable Playstation and if could use take a console like the PS2 and turn it into a Portable it still would not be a PSP. Back to the games a PSP is not able to play PS2 or PS3 games because all the hardware needed is not included in a PSP. Even the new PS Vita will only play newly designed more complex games that are still not up to the level of PS2 and PS3 game.
Your thinking about the PS3 not the PS2. The PS2 can not connect with the PSP as they don't work together
No the PSP plays PSP games. The PS2 and PS3 games would be too complex to run even if a PSP version was made it has to be made with less capabilities so the PSP can run the program