Give it a try. It could work. At the risk of repeating the documentation, perhaps, the biggest unknown is the focal length. Hopefully you could find some info about it, or pull one value out of the hat to start with. The optical center can be set to half the image dimensions. Once you create a simple tsai file wih the intrinsics (optical center, focal length, and the distortion, which can be set to zero), and if you have a reference DEM, such as SRTM, one can pick GCP using stereo_gui and use bundle adjustment create rough cameras, which can be verified with mapproject (or one can use camera_solve).
If you are able to get a DEM using ASP and these cameras, and it looks that the height of mountains is either too small or too large that is a symptom of the focal length being wrong. You can either try adjusting it or use bundle_adjust with --reference-dem and --reference-dem-weight to solve for it (there is some info in the doc).
Lastly, with SkySat we had a lot of issues because this camera has a very small ground footprint (~2km) and a very large focal length, which makes the camera pose determination quite fragile and would often fail to be even in the ballpark. Things worked better for KH9 whose ground footprint was, if I recall right, at least a few tens of km.