No no no no. The plot doesn't support this working in any way, other than "I want to have more daily trainers to level up faster". Other than his Klink staying with him for two different battles, he never kept the same Pokemon because he didn't want to hurt them more than necessary. He wouldn't be the kind of person to keep one team and train them up, which is why you can rebattle most trainers. Cheren is training, so you can battle him with his team, as well as pretty much everyone else you battle. N has no reason to train, he doesn't even want to keep his Pokemon.
Besides it not matching with his personality and goals, the plot itself would have to be changed to accommodate this, considering he leaves at the end of the game. I personally loved that, the idea that N was so remorseful and thoughtful about his actions that he needed to leave the source and think about it from farther away. Without that, he become routine -- fight the people in the stadium, fight Cheren, fight N, ho hum. Does anyone think of the other daily trainers in as special a way as N? You have access to them whenever you want, while N remains mysterious.
tl;dr: no.