Hell no.
Do you think it is permissible under the Geneva Convention as currently written?
There's no way to determine if it violates the vague language of Common Article Three, without clarification, but the question is irrelevant because there's about five different reasons why the Geneva Conventions do not apply.
Kinda says it all here, doesn't it? I agree with the President on this one. Not that someone like President Bush would ever let our military personnel stand in the docket in The Hague, that rats nest of anti-Americanism.
But someone like Kerry or nearly any liberal would.