Nah, Kid would ultimately win it. That is, he would at the expense of his father's life.

As Kid gets stronger, Lord Death gets weaker, and what better place for a resolution to that than in the final battle? Kid will probably die at some point, too, but you know how phlebotinum works.

Kid losing/killing his own only parent could really leak over into the Crona-experiencing-something-close-enough subplot, but I wouldn't put a lot of faith in Trollkubo to draw that connection.