Hey,
The link below has a list of colleges that give admission on the basis of WBJEE scores.
https://www.google.com/amp/s/engineering.careers360.com/articles/wbjee-participating-institutes/amp
Since, you have missed the application, you can get admission in good private colleges.
Engineering government colleges have 100% intake on the basis of WBJEE.

Yes you can still have hope.
There are several Institute still there which don't require WBJEE exam for admission.
1.IIT kgp
You can give Jee adv and get a good rank to get admission here.
2.NIT durgapur
JEE mains is the exam which you have to give to get admission here.
3.JU
Jadavpur University also take students through JEE mains.
4.IIEST
You can get admission here by jee mains.
And also there are some private colleges like IEM , HERITAGE,Techno where you can get admission through management quota.

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