Hi Parag,
It's great that you ask about this because I am working precisely on this topic right now. As you surely know PixInsight includes two scripts to accomplish these tasks, written by PTeam member Andrés del Pozo: ImageSolver and AnnotateImage. You'll find them on the Script menu, under the Image Analysis and Render categories, respectively.
The next version of PixInsight will introduce greatly improved versions of these scripts. The ImageSolver script implements a new local distortion correction algorithm that generates astrometric solutions of unprecedented accuracy and robustness. The AnnotateImage script can now identify, mark and label planets and asteroids visible on the image automatically. For now, only the main planets (Mercury through Pluto) and the 343 most massive asteroids from JPL's DE430 can be calculated and annotated. This is because these bodies are already available in the
integrated solar system ephemerides system since version 1.8.6 of PixInsight. Rigorous topocentric coordinates are calculated using the
integrated functionality for reduction of positions, also implemented in current versions of PixInsight. All of this will be available in the next version of PixInsight, which I am now preparing for release.
To compute accurate positions of arbitrary solar system objects, such as comets and asteroids not included in the set of 343 massive asteroids from DE430, we need good orbital elements (i.e. initial position and velocity vectors) and a numerical integration routine to generate ephemerides of the perturbed motion, including perturbations from the main planets, Earth, Moon, and perhaps also from massive asteroids, depending on accuracy requirements and orbital configurations. This is not available in the next version, but is planned for implementation during the coming months. With this numerical integration available in the core JavaScript runtime, the AnnotateImage script will be able to identify and annotate basically anything that moves in the solar system. Numerical integration will open PixInsight to much more possibilities in the astrometry and solar system ephemerides fields.
So what you are asking for will only be partially available in the next version, but definitely will be possible, and much more, in the medium term. For now, as you know you can read ICRS equatorial coordinates directly on solved images, which may help you identify objects if you already know their coordinates.
