Can I get admission in a college to pursue B.Tech in CSE through lateral entry? If yes, can you suggest some institutes?

Yes, you can do B.Tech in CSE through lateral entry. BITS Pilani IIT-Delhi National Institute of Technology, Karnataka VIT University, etc.

Yes, you can do B.Tech and you can apply to many colleges. Here are a few college options: BITS-Pilani IIT-Delhi National Institute of Technology, Karnataka VIT University