No, You can't get into SRM University Lucknow without entrance exam. You can get admission in SRM on the basis of JEE main marks. Or you can also fill their online admission form. After that you have to qualify their own admission test conducted by themselves .  Also you must have passed 10+2 or equivalent with Physics, Mathematics and Chemistry/ Computer Science as compulsory subjects with minimum 45% marks to get into SRM University Lucknow. You can also directly took the admission in the college after XII.There was counselling cell through which we have to go and take admission. They will take a conversation or interview with you. On the basis of that, you will get admission.