Engineering Admission Process

Yes, you can join lateral entry in BCA in Directorate of Distance Education, Madurai Kamaraj University . Check out the detailed eligibility and other details below:
https://www.shiksha.com/it-software/course/b-c-a-lateral-entry-direct-2nd-year-directorate-of-distance-education-madurai-kamaraj-university-287511

Directorate of Technical Education (DTE), Government of Kerala conducts LET (Lateral Entrance Test) an exam for giving admission to the bright students of Diploma in second year of B.Tech in Kerala. For more information, just go on the link :-
https://www.shiksha.com/b-tech/exams/dte-Kerala-let
here you can get the all information regarding this exam.

Yes, Amity accepts lateral entry for MCA. Check out the link below for details:
https://www.shiksha.com/it-software/course/masters-of-computer-application-lateral-entry-amity-university-Noida-232116.

Yes, Galgotias University provides lateral entry in MCA.

I am a student of ICFAI University, Dehradun. The eligibility for B.Tech (lateral entry) is either you have completed the Diploma course or you are in the last year of Diploma with 50-55% aggregate in any one of the following branches:
Civil Engineering
Computer Science and Engineering
Electrical and Electronics Engineering
Electronics and Communication Engineering
Mechanical Engineering
Mechatronics
Mining Engineering

Institute of Engineering and Management does not have Civil Engineering. However, it does have Mechanical Engineering branch where placement is good.

You have some limited chances. Yet also, you have lots of option. Firstly, search on NET some of government colleges locally. Then, give the exam for private universities for B.Tech lateral entry. You will easily get the admission in B.Tech lateral entry, but you should be careful with the ranks and marks while taking the exams.