yes, the west Bengal police has the recruitment for the constables the detailed information about the recruitment you may get from the official site of the west Bengal police
the page may look as follow:

there you may see the link of the recruitment on the left corner of the page click on that .

West Bengal police




it may redirected you to the page there you may found the notification related to the post for your convince here I am giving you the snapshot of that page

west Bengal police recruitment