Hhhmm which version...
House of the Dead, was only availbale for the Sega Saturn system, and is rather hard to come by.
House of the Dead 2 was only released on the dreamcast and is rather easy to come by (A dreamcast+game+1 lightgun used will cost about the same a 1 new ps2 game)
House of the Dead 3 runs on a Sega Chihiro system.. which is actually a modified xbox, so the assumption is that it will probably be an xbox only title, since the ps2 will not have enough hp to run it.
I hope this kinda answers your question.. while it's not on a ps2.. a used dreamcast, + the game is more than worth it.