NEET UG Scores

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.

According to the information you have given, your rank is more than 4,50,000. You have less chance of getting admission into a government college, but you can try these government colleges for an MBBS course. You may get admission into these government colleges. There is a list of government colleges offering MBBS programs.
1- DMIMSU-Data Meghe Institute of Medical Sciences
2- SRM Medical College Hospital and Research Center
Also, you can try these private colleges for the MBBS course. A list of private colleges is
1- Dr. D. Y. Patil Medical College, Hospital and Research Centre
2- Saveetha University-Saveetha Institute of Medical and Technical Sciences
3- KIMS-Krishna Institute of Medical Sciences, Secunderabad
4- Padmashree Dr. D. Y. Patil Vidyapeeth, Navi Mumbai
For more information regarding seats, college details, courses, or anything else, you can use Shiksha College Predictor 2022. (https://www.shiksha.com/medicine-and-health-sciences/neet-college-predictor)
This information is based on the previous year's (2021) results. For this year (2022), the results may be different. I hope this will help you.