I do believe so. The Presidency University, Kolkata does offer B.A. Economics under the exam PUBDET-2019 conducted by WBJEEB.
You can find information about the same here: https://wbjeeb.nic.in/PUBDETCMS/Handler/FileHandler.ashx?i=File&ii=1&iii=Y
Register for the exam here: https://wbjeeb.nic.in/PUBDETCMS/public/home.aspx
Old question paper for Economics paper here: https://wbjeeb.nic.in/PUBDETCMS/Handler/FileHandler.ashx?i=File&ii=10&iii=Y
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