Hi

No you don't need to give CUET entrance examination if you want to get admission in BSc Chemistry in IGNOU

This is because ,

IGNOU is an open University and it offers direct admission in BSc Chemistry so you just need to fill its application form and you will be provided admission in BSc Chemistry, there is no requirement of any entrance examination for the same .

For details checkout:- http://www.ignou.ac.in/ignou/aboutignou/school/sos/programmes/detail/413/2

You need to give CUET entrance examination only if you want to get admission in following universities

---------------------) Central University of Himachal Pradesh

---------------------) National Sports University

---------------------) Central University of Kashmir

---------------------) Central Agricultural University

---------------------) Central University of Jammu

---------------------) Central University of Punjab

---------------------) Central University of Haryana

---------------------) Central University of South Bihar

---------------------) Central University of Karnataka

---------------------) Central University of Rajasthan

---------------------) Central University of Jharkhand

---------------------) Central University of Kerala

---------------------) Central University of Andhra Pradesh

---------------------) Assam University, Silchar

---------------------) Central University of Gujarat

---------------------) Central University of Tamil Nadu

---------------------) DU i. e Delhi University

---------------------) Mahatma Gandhi Central University

---------------------) University of Hyderabad

---------------------) Jamia Millia Islamia

---------------------) Jawaharlal Nehru University

---------------------) Hemwati Nandan Bahuguna Garhwal University

---------------------) Visva-Bharati University

---------------------) University of Allahabad

---------------------) Rajiv Gandhi University

---------------------) Nalanda University

---------------------) Dr. Rajendra Prasad Central Agricultural University

---------------------) Tezpur University

---------------------) Nagaland University

---------------------) Central University of Odisha

---------------------) Pondicherry University

---------------------) Indian Maritime University

---------------------) English and Foreign Languages University

---------------------) Maulana Azad National Urdu University

---------------------) Babasaheb Bhimrao Ambedkar University

---------------------) Tripura University

---------------------) Rani Lakshmi Bai Central Agricultural University

---------------------) Rajiv Gandhi National Aviation University

---------------------) Banaras Hindu University

---------------------) Mizoram University

---------------------) North Eastern Hill University

---------------------) Guru Ghasidas Vishwavidyalaya,

---------------------) Central Tribal University of Andhra Pradesh

---------------------) The National Sanskrit University

---------------------) The Central Sanskrit University

---------------------) Shri Lal Bahadur Shastri National Sanskrit University

---------------------) Sikkim University

---------------------) Manipur University

---------------------) Dr. Harisingh Gour Vishwavidyalaya

---------------------) Mahatma Gandhi Antarrashtriya Hindi Vishwavidyalaya

---------------------) The Indira Gandhi National Tribal University

---------------------) AMU i. e Aligarh Muslim University

You can get more details about universities accepting CUET at:-

https://university.careers360.com/articles/cucet-participating-universities

Thank you