I'm no expert but I'm gonna go right ahead and say that's impossible. Of course, there MIGHT be some ways to mod your PS2 to be able to do this. Just might.
Nope.
Yes, but it's not easy to do so.
No.But PS3 can play PS2 games and PS2 can play PS1 games.
http://snessy.com/
No.
No the Snes wasn't backwards compatible. The cartridges were also different shapes.
No you can not play the PS2 games on the new PS3 and you can not play the PS3 games on the PS2
No a PS2 can not play PSP games
No the Playstation does not play PS2 games
No it can not play PS2 games
No the PSP can not play PS2 games
PS2 games are not free and you play them on a PS2