Hello Abhishek !
Yes ,you can apply at JK Lakhmipat University if you have not given CAT , because as per their eligibility criteria for getting admission their the candidates must have appeared in CAT/MAT/ATMA/XAT/CMAT or any other national level entrance test.
In case the candidate has not appeared for any of the mentioned tests, they will have to appear in the JKLU Management Entrance Test (MET) to qualify for the programme.
So, you can apply there by appearing in their Entrance test.
Hope it helps !