Hi ! No, you can't get it. Under homestate quota because the maximum rank you must have to get civil is within 6000. Still you may get the favour of luck due to vacancy. Given below will be a link of concerned topic. Hope you understand and best of luck to you.

https://www.google.com/url?sa=t&source=web&rct=j&url=https://engineering.careers360.com/articles/jee-main-cutoff-for-nit-calicut/amp&ved=2ahUKEwic0rzkjtTiAhXJ8HMBHcqUDuUQFjAAegQIAhAB&usg=AOvVaw0V3Ddacay2Ne2Y1ttjsk8Z&ampcf=1