Hello Siddhartha,
Yes, you can definitely do so. NIOS board only conducts a class 12 exam. They do not have any examination for class 11. For being eligible to take the class 12 NIOS board exam you need to have a class 10 pass certificate and need to be at least 15 years of age. Since you meet the required criteria, you can sit for the examination.
Hope this helps :)
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