Sure, you can.
But, you can order the different menus within a category.
In Korea, most restaurants specialize in some menus correlated with ingredient, or type of utensil.
Therefore, some can order sea food, some members can order pork,…this is almost impossible unless you visit food court style restaurant.
Please look the following typical menu plates.
First restaurant sells local beef based soups. This is the page 2, probably, there are several non-marinated and marinated grilled beef menus on page 1.
This restaurant’s specialty is bibimbap. Though bibimbap is easily ordered at many restaurant, there are some famous bibimbap restaurants at Seoul and Jeonju.