Is there any way by which PS I can be modified to play PS2 games?
 

I am wondering that is there any way by which I can play those cool PS2 games on my ###ne? Any Chip, add-on, additional hardware, anything available by which PS1 can play PS2 games, no matter with poor graphics and sound at PS I quality? Please bust or realize my fantasy....

PS2 games play on a PS2,
PS1 games will play on either.

A PS2 is a DVD drive, a DVD disk can hold 12 CD's on them. Your PS1 is a CD drive, the lens can not read the small lines of a DVD so it will not be able to read the PS2 DVD games. Most PS2 games that aren't DVD are a different CD format then the standard for Ps1 it'd be like putting a Dreamcast game in your playstation and trying to play it, it's not gonna happen.

Re:Is there any way by which PS I can be modified to play PS2 games?

Answer: No

I was going to say
YES, part exchange the ###ne for a PS2
:)