Hello Aspirant,
No, not only in NIOS, in fact any of the board do not allow Open Book examination as it is considered as unfair means and malpractice. Therefore it is not practiced.
NIOS is Open schooling board it conducts board exams as well as On-Demand Examination so that any candidate should not waste his/her complete year.
I hope this information helps you.
Good Luck!!
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