hey,

yes you will be happy to know that MIT , manipal do offer lateral entry in every B.tech course and to get that you are required to fulfill the eligibility criteria that is you must have passed a diploma of maximum 3 years granted by board of technical examination of a state government and you must have secured a minimum aggregate of 45 percent marks or equivalent , or you must having a B.Sc degree with mathematics in 12th standard from a recognized university and have successfully secured a minimum aggregate of 45 percent marks.

hope this helps

good luck!