Unfortunately, for Minecraft Java Edition, there are no skins that will automatically incorporate a cape. However, in Bedrock Edition, there are some skin packs that come with capes included.

Capes are special and rare skin modifications in Minecraft that not many players have. These can be attached to the back of a character and are designed specifically by Mojang.

Minecraft capes are coveted in-game items that add visual flair and can be earned through special achievements, events, or contributions. Players can obtain capes by migrating their Mojang account ...

How to earn the Yearn Cape Upgrade Minecraft to the latest version (Bedrock or Java Edition). Access the Movie Live Event from the main menu (Bedrock) or join the event server (Java).