Yes. The Scottish with their kilts. The Greeks. The Romans.
You can fight in a skirt so long as it doesn’t restrict your movement. Mini-skirts, tight skirts, leather skirts, jeans skirts, any sort of stiff, heavy skirt that restricts full extension of the leg is a no-go. You don’t want to wear anything tight, be it on the upper or lower body. (Well, okay, you want a sports bra.) The same is true of dresses, you can fight in a dress so long as the dress doesn’t restrict freedom of movement. Sun dresses over spandex and club wear.
An example of a working leather skirt in fiction would be from Xena: Warrior Princess, which is based on historical designs (Roman, I think). You’ll notice the skirt is made out of loose leather straps hanging over the cloth portion. This allows greater freedom of movement and protects the important arteries in the thighs without restricting the legs.
You don’t want to fight in anything that really goes above the thigh or below the shins, because above the thigh can get too restrictive and below the shin is a tripping hazard. A full toga, one that goes all the way down to the feet is too much cloth. It’ll trip you. This is why you don’t see the full toga worn in Greece and Rome as combat wear. Instead, if you look up images, you’ll see a much shorter variation of a skirt.
Basically, go back through military history and go through the different kinds of armor styles. If you do pick an armor type, make sure you research the military history of the group in question. Many different kinds of dress wear have cultural implications along with simply being armor. Don’t take random bits, do a full overview of the culture in question.