The camera doesn't seem to support recording in portrait mode, so the provided case couldn't be used to have it around the neck to record in vertical.

Perfect fit was done based on the Camera+Battery 3D model available at:
https://www.thingiverse.com/thing:5155580 

Designed with OnShape:
https://cad.onshape.com/documents/36599f0e3ed04ef2ad2a0930/v/0a6db7901664ef7baf2984b3/e/207ebc1d88c582d9ad509140