Absolutely !

As long as you satisfy the below points, you're absolutely eligible for any government engineering colleges :-

B.Tech aspirants of West Bengal must have passed Class 12 with Physics and Mathematics as the mandatory subjects along with Computer Science/ Computer Applications/ Biology/ Biotechnology/ Chemistry.

The B.Tech applicants of West Bengal should have 45% of marks in Class 12 to be considered for the B.Tech admission process in West Bengal.

For reserved categories, the minimum marks required in Class 12 are 40%.

Apart from these, it doesn't matter if you are a repeater of Class 12 as long as you have the above mentioned points cleared out.