No; it's two sentences in Klingon.
Even lugh lurveng 'e' vIHon "I doubt that Lurveng is right" is technically two sentences in Klingon, even though we usually don't put any punctuation between them -- the first sentence is lugh lurveng and the second one is 'e' vIHon, where the special pronoun 'e' refers to the entire previous sentence.
This sentence is probably not legal. The object of Hon is supposed to be the thing doubted, but here you're trying to doubt a question, not an action.
lugh lurveng 'e' vIHon I doubt that Lurveng is right would be a valid sentence, but not if the first sentence is a question.
There's no definitive canon to back this up, and I'm not trying to completely disallow questions as objects (there is canon of such), but it follows from the given grammatical rules that the 'e' should refer to the thing actually doubted, not to your question of whether the thing you doubt is true.