i am from economically backward catagery and I have 280 marks in neet can i get a government medical college

Hi , you are scoring very low marks and with these marks you won't  get a seat. You can either apply for private colleges or drop a year to study well and then appear for exam next year . Cutoff generally goes higher every year as compared to last year depending on several factors like number of students appearing in exam, difficulty level of exam, students scoring more than you and your category.
Hope this helps