I am studying CSE in my 1st year. Can I change my college after the 1st year and get an admission in the 2nd year in any other college?

A Big yes.
Surely you can change the college after 1 st year and get admission in other college for 2 nd year of engineering.What u need is to have a good CGPA or percentage in your first year of engineering and a good character certificate.CGPA needed to change the college may vary depending on the college.Almost all private colleges offer this change,but you cannot go to a Government college from a private college.
For college change procedure you can enquire at your college office.