Yes, you can get admission for engineering without giving any entrance exam. Some of the colleges offer admission in Engineering Courses without any entrance test. They offer admission by following modes

There are 2 ways of getting admission in to Engineering colleges they are

Academic Basis:
Directly approach the college and the recruitment is done based on pure performance in your intermediate. A small interview is conducted to test your skills and if you clear then you'll be give admission into Engineering.

Payment Seat:
This type of admission is done in each and every college. 25% of seats in each group of all the colleges will be admitted through payment seat. Good reputed colleges will charge more where as normal college charges reasonably.