BHMS

With this Rank, you can not get any Government or semi-government college for BHMS and B.A. MS courses. Also, you did not mention your Domicile, state rank, and gender. However, you may get admission to these colleges for the B.A. MS course.
1- Rajiv Gandhi Ayurveda Medical College and Hospital, CHALAKKARA, NEW MAHE, UT OF PUDUCHERRY (last year's cut off was 669976)
2- Shri Narayan Prasad Awasthy government. Ayurved College, Raipur, Chhattisgarh (last year's cut off was 699591)
3- Government Ayurved College and Hospital, Jalgaon, Maharashtra (last year's cut off was 669976)
4- Swami Kalyandev Government Ayurved College, Muzaffarnagar, Uttar Pradesh (last year's cutoff was 687065)
5- Ayurveda and Unani Tibbia CollegeAyurveda-AIQ, Karol Bagh Delhi (last year's cut off was 863826)
6- Government Ayurved College and Hospital, Jalgaon, Maharashtra (last year's cut off was 881907)
7- State Model Institute of Ayurved Sciences Kolavada, Gandhinagar, Gujarat (last year's cut off was 660406)
8- Tilak Ayurved Mahavidyalaya, Pune, MS (last year's cut off was 753038)
For the BHMS course, you can not get any government or semi-government college in India.

No, you can not get admission into a government college for BHMS in Maharashtra (Bachelor of Homeopathic Medicine and Surgery) with 162 marks. However, you can not get a seat even if you belong to specific category quotas. In the year 2021, most government colleges had cutoff scores for the Bachelor of Homeopathic Medicine and Surgery course that were more than 250 marks. Even for BHMS private colleges, the cutoff score was higher than 200 marks. You can get college in Kharghar, Maharashtra but only for the BPT (Bachelor of Physiotherapy) course and not the BHM With this score, you may get admission into Lokmanya Tilak Municipal Medical College (LTMMC) and General Hospital, Kharghar, for the BPT course. For admission to the YMTHMCH in Kharghar, you need to score more than 300 marks. I hope this will help you.

Yes, you can get admission to select BHMS and B.A. MS colleges based on information provided by you. According to a 473 score and 106074 AIR in NEET 2022, you may expect the following colleges based on previous year cutoffs:
For a Bachelor of Homoeopathic Medicine and Surgery (BHMS:
1. Pratap Chandra Memorial Homoeopathic Hospital and College in Kolkata
2. Bengal Homoeopathic Medical College and Hospital in Asansol
For a Bachelor of Ayurvedic Medicine and Surgery B.A. MS you may expect:
3. Swami Kalyandev Government Ayurved College, Muzaffarnagar.
4. Government Ayurved College in Osmanabad
5. Dayabhai Maoji Majithiya Ayurved Mahavidyalaya in Yavatmal.