Smt. Velagapudi Durgamba Siddhartha Law College

AP LAWCET rank below 2000 in your category are good enough for this college. The course fee for LLB three year program is about Rs 111,840.

As per the eligibility criteria, the candidates seeking admission for 5-year integrated B.A., LL.B., Degree course at the asked college should have passed 10+2 examination of the Board of Intermediate Education, Andhra Pradesh or any other Board examination recognized as equivalent thereto with 45% aggregate marks in group as well as languages and must have qualified in the LAWCET held in every Academic Year.
Candidates not appearing for LAWCET or not qualifying in the LAWCET can also seek admission under the B category or management category seats. Therefore, you can get admission here under management quota.

Your rank is a little low but you can try in spot or last round of counseling. You can also use this link:
https://www.shiksha.com/college-predictor

No, it is not possible to join in LLB course without giving an entrance exam.

It is difficult to get seat in your desired college BU is depends on the seats left out in the counselling. So, try once in the counselling.
All the best.