Yes you can....but You need to pass 12th in the current year to fulfill the eligibility criteria

In WBJEE, there is no limit to the number of attempts and there is no upper limit too. You just have to be 17 years of age on December 31, 2018.

For more detail go through this:-

Https://engineering.careers360.com/articles/wbjee-eligibility-criteria

All the very best and good luck.

The candidates should have qualified his/ her 10+2 examination with Physics and Mathematics along with any one of Chemistry/ Biology/ Biotechnology/ Computer Science/ Computer Application as compulsory subjects with individual passing marks (in both theory and practical wherever applicable) in all the three subjects mentioned above in regular class mode. Those candidates who will be appearing in the qualifying exam in 2018 will also eligible to apply for WBJEE 2017.