Can I get NIT admission through LEET??? Is there LEET admission scheme available???

No friend you can’t get admission NIT because NITs does not offers admission to Engineering to Diploma holders on the basis of LEET.
NIT offers admission to Engineering courses only on the basis of JEE.

Lateral Engineering Entrance Test (LEET) is a type of Engineering Entrance Test for Diploma holders who want to take admission in engineering courses.

LEET is a state level Entrance Test which is conducted by the Technical University of a particular State.

Eligibility conditions for LEET:
Applicants must have completed Diploma course in Engineering from a recognized Education board or any State Board of Technical Education.

Age limit for LEET:-
Applicant age must not be more than 28 years at the time of Test.

Most reputed Engineering Colleges in India offering Engineering admissions through LEET:-

KIITS University, Orissa
IP University, Delhi
Punjabi University, Patiala
Punjab University, Chandigarh
Delhi College of Engineering, Delhi
Anna University, Coimbatore
Amity University, Noida
Manipal Institute of Technology, Manipal
Government College of Engineering, Pune
Thapar University, Patiala