That looks like a raw image... if there's any PC apps capable of reading a PS2 HDD's filesystem you might be able to do more with it than when trying to access it from PS2 applications (at least, I think the 'ps2hdd: PS2 APA Driver v1.1 (c) 2003 Vector' is a PS2 application, and that might be why certain partitions give a 'permission denied' error).
However, if it's actually a PC application, 'permission denied' might be some directory index not being read properly, but you'd need to check the source code of the application to find out what it actually is... I'd like to have the image so I could mess around with the partition index in it.
How I convert a ps2 iso to elf? Is there a converter?
not correct. there is first PS3 release (NTSC 60&20gb)with PS2 CPU+GPU - this PS3 uses hardware PS2 emulation. there is second PS3 release with (NTSC 80gb and first PAL model) PS2 GPU only - this PS3 release uses software emulation of PS2 CPU (but still uses hardware PS2 GPU) and there are all following PS3 releases without any PS2 hardware on-board.
These PS3 are NOT compatible with neither hardware nor software emulation of PS2 included in firmware.