Diploma

Yes, you can, if you have completed class 10th. Eligibility Criteria for taking admission through lateral entry is:
Pass with 50% aggregate marks in class 10th, subject to qualifying entrance exam. Some institutes give direct admission to students on the basis of their marks in class 10th. You can do Diploma in:
Electrical Engineering
Civil Engineering
Chemical Engineering
Computer Science Engineering
IT Engineering
IC Engineering
EC Engineering
Electronics Engineering
Electronics and Telecommunication Engineering
Petroleum Engineering
Aeronautical Engineering
Aerospace Engineering
Automobile Engineering
You can do it from : DTU, PTU, UPTU
Cochin University of Science and Technology, Kochi
Lovely Professional University, Jalandhar
Assam Don Bosco University, Guwahati
College of Engineering Pune
Lovely Professional University
Hindustan Institute of Engineering Technology Chennai, Vellore Institute of Technology
P. S. G. College of Technology Coimbatore
Madras Institute of Technology Chennai, SCMS School of Engineering and Technology Cochin
Veermata Jijabai Technological Institute Mumbai
Anna UniversityCollege of Engineering Pune, Jadavpur University.

You can take admission for B.Tech through lateral entry. Diploma holders in any stream are eligible to take admission, in the second year of the course. They must have done their Diploma after class 10th (3 year) with min 50% or after class 12th (2 year) and they need to qualify LEET. Various engineering colleges in India also offer direct admission to Diploma holders in second year of the course and in reputed institutes, after completing Diploma student gets entry in second year of B.Tech through LEET. Some private institutes like BITS Pilani, VIT, LPU University etc. Conduct their separate entrance test. Top colleges/ universities are: DTU, BITS
College of Engineering Pune
Lovely Professional University
Hindustan Institute of Engineering Technology Chennai, Vellore Institute of Technology
P. S. G. College of Technology Coimbatore
Madras Institute of Technology Chennai, SCMS School of Engineering and Technology Cochin
Veermata Jijabai Technological Institute Mumbai
Anna UniversityCollege of Engineering Pune, Jadavpur University.

You can do B.Tech through lateral entry. Diploma holders in any stream are eligible to take admission, in the second year of the course. They must have done their Diploma after 10th (3 year) with minimum 50% marks or after class 12th (2 year) and they need to qualify LEET. Various engineering colleges in India also offer direct admission to Diploma holders in second year of the course and in reputed institutes, after completing Diploma student gets entry in second year of B.Tech through LEET. Some private institutes like BITS Pilani, VIT, LPU University etc. Conduct their separate entrance test. Top colleges/ universities are: DTU, BITS
College of Engineering Pune
Lovely Professional University
Hindustan Institute of Engineering Technology Chennai, Vellore Institute of Technology
P. S. G. College of Technology Coimbatore
Madras Institute of Technology Chennai, SCMS School of Engineering and Technology Cochin
Veermata Jijabai Technological Institute Mumbai
Anna UniversityCollege of Engineering Pune, Jadavpur University.

List of top Polytechnic institutes offering Diploma course in Petroleum Engineering:-
1. Nandha Polytechnic College, Erode (Tamil Nadu), Erode - Perundurai Main Road, Vaikkaalmedu, Erode (Erode Dist. ). - 638052
2. Konghu Velalar Polytechnic College, Erode (Tamil Nadu)
Purumapalayam, Seenapuram, Perundurai, Erode (Erode Dist. ). - 638057
3. Sri Rajiv Gandhi Polytechnic College, Erode (Tamil Nadu), Erode - Chennimalai main road, Myladi, Chennimalai, Erode (Erode Dist. ). - 638112
4. DPC Polytechnic College, Salem (Tamil Nadu)
Chettiyar Kadai Bus Stop, Muthunayakanpatti (way), Salem (Salem Dist.). - 636 304
5. CPCL Polytechnic College, Chennai (Tamil Nadu), CPCL Factory Site, Manali, Chennai (Chennai Dist. ). - 600068
6. Annai J. K. Sampoorani Ammal Polytechnic College, Erode (Tamil Nadu)
T. N. Palayam (PO), Gobi (Tk), Erode (Erode Dist. ). - 638506.