The quick answer is, no. A skillet and frying pan are different because of each’s cooking surface and design. There is often confusion because the terms “skillet” and “frying pan” are often used interchangeably. And you can typically use either one of them for many cooking preparations, even if one is better suited for a specific cooking method. Plus, both of these style pans are often made from the same materials and come in similar sizes, so it's easy to understand why there can be confusion. While similar, a skillet is technically a bit deeper and has a slightly larger cooking surface area than a frying pan. 

So we know that the frypan is generally smaller than the skillet, but does that also mean it has a smaller cooking surface? It sure does. Its overall smaller build gives it a smaller cooking surface, while its shallower depth also reduces the amount you can cook on it. But its compact size certainly gives you an easier time when it comes to cooking smaller portions.

But you'll want to factor in that this material is a lot heavier than stainless steel and can be harder to maneuver and lift. There are certain sauces or foods that aren't recommended to be prepared in a cast-iron skillet. If you're simmering a tomato sauce or other acidic foods, or foods that are more likely to stick, such as eggs or crepes, opt for a skillet that isn't cast iron.