It depends upon type of engineering exam .
1.College level:- if any college is organizing the exam than its possible.
2.University level:-
1.Very Reputed University(Jadavpur University, Anna University) having very good placements:- Than it can't be possible . You have to be prepare for it. But it's also depends on your caste . If you are fr from OBC, SC, ST caste than you need less hardwork and cutoff.But if u are from general category than you need more hard work and good cutoff to get there.
2. Not very reputed University (LPU):- You can clear with basic knowledge of science .
But most of the universities selected student's on based of jee main exam. So if you want top colleges like IIT/NITS/IIITs you need to work very hard and need very good rank .
To get into IIT you need to do work very hard.Its one of the most toughest exam of India. Its also depends on your caste if you are from general category than you need very good score to get there . If you are from SC/ST/OBC than you can get IIT at low scores but low does not mean stay you can clear with basic knowledge. You have to get coaching . Without coaching you can't solve even one question of IIT advance exam.
BITS:- if you want to clear Bitsat exam you need to work very hard and there is no caste based reservation in it.you also need coaching for it.
NIT:- YOU need to work very hard if you from general category and also need coaching whether you are from general/SC/ST/OBC. Because this exam is also toughest exam and you need to work hard depends on your category.
So its depends on the college reputation, level of engineering level exam, Caste.
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