These are just shapes. 
The shapes are arranged in a way that your brain sees a penguin, but they are just a collection of shapes. You get to choose how and where these shapes produce laser output.
Any shape can be set to fill or follow the path of the shape, this is done by placing the shape on a layer and setting that to the cut mode for the layer as you choose. Bitmap images (pictures) are placed on their own Image layer with different options.
Because you are working with just shapes, the answer is almost always yes! They way, or process for getting the laser to produce what you intend is a matter of having the correct shape set to the correct layer setting. All this gets checked in the ‘Preview’ window prior to sending to the laser for production.
In the laser world, folks tend to interchange terms all the time, so it can be a bit confusing, pulling all these concepts together, but you are doing great. 
Did I ever share this Simple Project? This is a great little learning lesson, walking through many of the basic LightBurn features and processes. Really worth review: Your First Project - LightBurn Software Documentation
After that, have a read over this post, which covers how LightBurn decides what to fill based on the edges or boundaries of closed shapes. This should help specifically with the eye of the penguin question.