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I don’t know how these asset packs work. Could I get .stl files from them?
Long answer: game assets are absolutely possible to print but will look nothing like the model you see on screen.
Rendering techniques used for real time mean you want fewer polygons and will be faking a bunch of shit, like hair or thatched roofs for instance, and none of those faked parts will show up correctly on a print since they are actually just textures on planes.
I actually managed to extract the 3D assets from Star Craft 2 and print them, specifically the Baneling and the Ultralisk. I had to remesh them to make them manifold and subdivide to smooth the triangles, but they looked great in the end.
The only problem of the Baneling is that the center of gravity is nowhere near the feet, so it always tips over. Hollowing its body would probably help.
As i said, it's possible, but it's not guaranteed to look anything like the original model. I'm unfamiliar with the baneling as a model but I'm assuming it's probably not hairy, right?
There are a few videos on this. It's not about those assets specifically, it talks about how to do it in general. 3D Print Video Game Models (2021 Updated Tutorial) https://www.youtube.com/watch?v=_aTyIt081l8
Other comments already touched on this, but without a lot of work into each model, they won't print well. Assets for digital games are meant to be viewed on-screen, they aren't designed to actually fill out 3D space.