Hello there,

I hope you are safe and healthy.

YES, private colleges can have ICAR recognition. There are 45 colleges under ICAR in India.

Below is the list of a few Private Colleges under ICAR :

• Acharya NG Ranga Agricultural University, Hyderabad A.P.
• Agriculture University, Kota, Rajasthan.
• Anand Agricultural University, Anand, Gujarat.
• Assam Agricultural University, Jorhat, Assam.
• Sardar ballav bhai patel univ. Of agriculture and technology,  UP
• Sardarkrushinagar Dantiwada Agricultural University, Gujrat

I hope it helps.