No, unfortunately that won’t work. The supplied Seestar solar filter is a white light filter, which blocks out the vast majority of the Sun’s light to make general surface features (like sunspots) safe to view.
Adding an H-alpha or Calcium K filter on top of that will not allow you to capture the chromosphere or the corona. These filters require a completely different optical system—typically with a dedicated etalon, energy rejection filter, and precise tuning to isolate a very narrow bandwidth.
The Seestar’s optics and sensor are not designed for narrowband solar imaging. To observe the chromosphere (H-alpha) or Calcium K features, you would need a specialized solar telescope like those made by Lunt or DayStar.
So, you cannot image the chromosphere or corona with an H-alpha or CaK filter on top of the Seestar's solar filter.
