Of course! Running a household is too much for just one person to do, even for a stay-at-home housewife.
As a husband and leader of my little household, I view my responsibility as primarily to be a servant leader. So my wife and I will divide responsibilities within the home, but I'll happily step in to fill gaps if she's overwhelmed, and likewise she'll do the same for me.
When we have kids, I'll want to teach them the same ethic. Everyone helps out in making the household work.