Is Agent J son of the Cop who died at the end

I watched Men In Black 3 (2012). Here as Griffin (the man who could see future) told that someone should have to die, if it's not Agent K, then it would be someone else.

Exactly according to it, a cop was killed by Boris the Animal was intentially going to kill Agent K. Then the cop's kid came to Agent K asking for his father. I dont exactly remember the child's name, but it was something starting with J (might be Jonathan). Then Agent J, who was their from future thought for a while and Agent K took the child with him.

I wonder if that child was actually Agent J in the future or not?