Sure. The question as phrased is pretty suggestive though. I wouldn't be surprised if you asked that question, and the reverse question, and a gender-neutral version of the question, you would get results that look contradictory.

Really, you would have to ask just one question to each individual, because I suspect if you asked all three questions you would get different responses than if you only asked one. I'm not denying the effect, just that I think the question is leading.