It's not a guarantee of a good story or character, but it can be an interesting point to make, I suppose. If it's going to be the main focus of the story, though, you're probably going to want to do something more with it than just reverse them and go "Look!".
I've done something like this with two of my secondary characters - one of them is a small, slim woman who is confrontational, honest, and rarely thinks before she speaks; all traits that are more often found in stereotypical male characters. The other is a very tall, very big man who is physically imposing, but whose personality tends towards being soft and caring and worrying a lot.
It's not the focus of the story, and I don't really arrange my scenes to focus on it - it's just kind of there. Kazue mouths off and says things that might spark fights, Dateh is worried about things, and tries to mediate in potential conflicts to defuse them, etc. However, Kazue has moments of worry and caring, and Dateh never becomes the male version of a damsel in distress - he's very capable. He's just softer than she is.
I also have a pretty big cast of main and secondary characters, and so there's plenty of space for women who exhibit all kinds of personalities - from Kazue's headstrong, confrontative style, all the way to polite and fragile - and the same with men. It's worth investing time in making your characters people rather than a collection of stereotypical traits. Give them a reason to do what they do, give them something they strive for, give them something to fear, etc. And don't be afraid to make them selfish, or quick to anger, or someone who holds grudges, or someone who gets easily caught up in things, etc. Nobody's perfect!