According to the data of the previous year the closing rank for the lateral entry in mechanical engineering was 2678 for the general category. So the chances are less but I would suggest you to fill the choices with giving priority to the JSS and wait for the results till the last round of counselling. You can get the seat at the end of the last round though it is difficult but hope for the best. Also you can use the career360s college pridictor to have the idea of the college which you can get through UPSEE.