Yes, you can take the NEET 2019 exam if you want to join the bvsc course. Check if you are eligible to take the NEET exam, the eligibility criteria is in the link below:

https://medicine.careers360.com/articles/neet-eligibility-criteria

To get admission for bvsc anywhere in India, a NEET score of 500+ is essential to get into a good college. The ranking depends on the number of students who apply and the relative scores for the exam of that year, so it is difficult to estimate the specific rank cutoff. But a 500+ score is definitely a must and will safely give you admission into a bvsc course.

Good Luck!