Yes, you can pursue Btech and MBA Dual degree course , this course duration will be 5 year . Some of the colleges in India offers this course .

B.Tech+ MBA Dual Degree Colleges in India:

School of Engineering and Sciences : Bhagat Phool Singh (BPS) Mahila Vishwavidyalaya,
Sonipat (Haryana)
B.P.S. Mahila Vishwavidyalaya,
Khanpur Kalan , Sonipat (Sonipat Dist.) - 131305

Maharishi Markandeshwar Engineering College, Mullana (Haryana)
Maharishi Markandeshwar University,
Mullana (Ambala Dist.) - 133207

MVN University, Faridabad (Haryana)
74th KM Stone,NH-2,
Delhi-Agra Highway (NCR) ,
Faridabad (Faridabad Dist.) - 121105

Assam Down Town University, Guwahati (Assam)
Chandrapur Road, Sankar Madhab Path,
Gandhi Nagar, Panikhaiti ,
Guwahati (Kamrup Dist.) - 781026

Gulzar Group of Institutes, Ludhiana (Punjab)
G.T.Road, Village Libra,
Tehsil Khanna ,
Ludhiana (Ludhiana Dist.) - 141401

My Education Foundation, Dwarka (Delhi)
16b- pkt-B ,
Dwarka (Delhi) - 110078