Yes, you can get admission in LLB, without Entrance Exam under Management Quota. There are many Private Law Colleges and Universities who accept admission through Management Quota. You may be required to have Passed you +2, maybe you Bachelor Degree Certificate if available and certain other Documents. Some Universities, might just require a Test Score like CLAT or DU Law, just as a Formality, with seat confirmed at a much higher tuition fee under management quota.

For more information about LLB and Colleges do follow the link below

https://law.careers360.com/articles/llb-admission-in-india/amp