Could you please explain a bit more what are you trying to do? Based only on the information you provide I would answer this:
While Newick files represent phylogenetic trees, the Qt graphic elements that you mention represent generic trees as a simple computer data type that consists of parents and children.. nothing more. Hence, while it might be possible to do what you want, I would not recommend it because then you will be unable to represent distances or support values, etc.. which are typical information that you might want to display in phylogenetic trees.
If you look for a graphical way to represent or edit you newick files I can recommend you http://inf.imo-chile.cl/software/bosque.html