India

Hi Wakif,
The rules for changing the college vary according to university rules from time to time. So, we would suggest you to inquire from the concerned colleges and its authorities.
Generally, the procedure for college to college transfer is: apply to the Registrar in the prescribed manner for permission for such transfer prior to making the desired transfer with valid reasons for the transfer proposed. An application for a transfer shall be accompanied by
(I) Written consent of the Principal of the College in which the student is studying;
(ii) The written promise of admission from the Principal of the College which he proposes to join, together with an assurance by him that the student, if the transfer is permitted, will be able to continue in his college the course of study already commenced by the student in each subject under each part of the examination; and
(iii) A certificate of satisfactory progress and good conduct from the principal of the college he is leaving. Authority to sanction is the Vice-Chancellor. A student, who has been permitted by the Vice-Chancellor to be transferred from one College to another, shall apply for combination of the attendance earned by him in the College in which he was studying before such transfer and the attendance that he would be able to earn in the college to which he has been admitted.
(iv) Every such application shall be accompanied by a chalan receipt for the prescribed fee and shall be sent to the Registrar of the University through the Principal. If university is also changing then the course of study prescribed by the University and the degree or certificate to be awarded after the successful completion of the course shall be the same of both the universities.
(v) However, you should have a valid reason for transfer before going ahead.

List of engineering lateral entry entrance exams:
AIEEE - All India Engineering Entrance Exams
Calicut University Lateral Entry Entrance Exams
Delhi technical University Lateral Entry Entrance Examination
Kerala University Lateral Entry Exam
KIIT University Lateral Entry Entrance Examination
Lateral Entry Entrance Test LEET
LPU NEAT (National Engineering Aptitude Test)
MIT-Manipal BE Lateral Entry Entrance Exam
Mumbai University Lateral Entry Entrance Examination
Punjab Technical University Lateral Entry Entrance Test (PTU LEET)
UKSEE B.Tech (Lateral Entry) Entrance Exam
Uttarakhand Technical University Lateral Entry Entrance Test
West Bengal University Joint Entrance Exam for Lateral Entry (JELET)
Very few average colleges give direct admission, I would recommend you to get admission through entrance test.