Hello Shrusti,
With a score of 327 in NEET examination 2019 you have chances of getting following government colleges in ST category under state qouta.

• Government medical college, balasore- 281 marks, 208285 AIR
• Government medical college and hospital, balangir- 287 marks, 199012 AIR
• SLN medical college and hospital, koraput- 286 marks, 200676 AIR
• Pandit Raghunath Murmu medical college and hospital, Baripada- 299 marks, 183193 AIR
  

If you go by the last year cutoffs you can get admission in these colleges.
I HOPE THIS HELPS.
ALL THE BEST!!

Hey,
The cutoff changes every year depending upon the number of candidates appearing for the examination,the category of the candidates and the difficulty level of the question.
If we consider the previous year cutoff of NEET, you have chances in government Medical Colleges like Veer Surendra Sai Institute of Medical Sciences and Research,Burla.
I am providing below the link of the article of previous year cutoff in Odisha:
https://medicine.careers360.com/articles/neet-cutoff-odisha
I am providing below the NEET College Predictor that will help you know about your chances in any Medical Colleges:
https://medicine.careers360.com/neet-college-predictor?icn=NEET_clgpd&ici=NEET_text-mapping
Hope this helps.
Good luck.