No you can't.
North American PS3s can only play DVD Region 1 discs.
You won't have a problem importing asian blu-ray's though. Japan and North America share a Blu-Ray Region A.
Slysoft has several programs that can rip DVDs regardless of region coding and convert them into various formats the PS3 can understand (MP4 as an example). You can either buy or pirate the program. There's also programs out there that can just play DVDs regardless of region. I don't believe DVD-ROM drives are region coded, only stand alone players/Game consoles.
So yea, either ripping software, or DVD playback software can let you watch it.
Tyrien.DeviantArt~
As of 08/11/2008 5:33 PM Eastern Standard time I now officially own:
Miyavi, Kyo, Yuusuke, Maya, Gou, Aki, Aoi, Jun, Yusa, Jui, Key, Heechul, Yesung, Riku, Kei, Jyou, Satoshi, Takeru, Sin, Teddyloid, ♀Yooh♂, Reo, Tomoya, Tatsuro, Hitsugi, Kyoharu, Takanori Nishikawa, Jay Chou, Hirokai, Die, Kaoru, Shinya, and Toshiya.