My percentile score is 78.12 can I get admission in nitte institution
It would be difficult to provide the exact information about the admission possibilities as for the first time JEE Main is being conducted twice by NTA in multiple session.
Based on this score your probable rank will be 240,989 - 270,989. With this rank the chances seems less to be eligible for JEE Advance. I would suggest you to appear for JEE Main April Session.
NOTE: Rank Predicted is on the basis of the expected total number of students i.e. 1152650 appearing in the JEE Mains April Session.
Good Luck!