Does your spouse have a reason to? Obviously they feel that there's something you're hiding, they feel that they have a reason to mistrust you. That's really the issue you should be addressing. For some reason they don't trust you. You need to sit down and talk about it and figure out what it is that is prompting this feeling in them. Than figure out what you are going to do about it.
I mean, from a legal stand point, yes, your spouse has the right. The question is why would they exercise it. Time to sit down and talk it out.