Is bsc honours (Science) is possible without clearing jee

Yes . You can apply any college under a university where you can apply B.Sc.(Hons)  where you just show your 12th bord exam results. With a good percentage (65 above)
In India top B.Sc (Hons) in  college are

JMI New Delhi - Jamia Millia Islamia


MSU Baroda - Maharaja Sayajirao University of Baroda

Jadavpur University, Kolkata

BHU Varanasi - Banaras Hindu University

Chandigarh University, Chandigarh

Manipal University, Jaipur


Sharda University, Greater Noida

Presidency University, Kolkata

Aliah University, Kolkata


GGU Bilaspur - Guru Ghasidas Vishwavidyalaya

Vivekananda Global University, Jaipur



For more information you can visit here
https://university.careers360.com/colleges/list-of-bsc(hons)-universities-in-india

Thank you. All the best. I hope this answer helps you.