Yes, You can fill the examination form of  Film and Television Institute of India Joint Entrance Test (FTII JET)  even if you are in the final year of the college and if you get selected you will be allowed to join your course only if you submit passing certificate and other important document at the time of Interview that means your current course should be completed before your interview.

Yes you can upload your second year marks.

For more details visit

https://media.careers360.com/articles/how-to-fill-srfti-ftii-jet-application-form

Hope this helps.