The Wikepedia page for George R R Martin contains the following information about his association with the Game Of Thrones TV series
Martin serves as the series' co-executive producer, while also
scripting one of each season's 10 episodes.
so I think it is fairly sensible to assume that if the actors were pronouncing the name incorrectly that he would have told them so. Based on that alone I would say that we can infer that the pronunciation is the same as the for the English name "Jamie".
Not that this is unusual at all - the English actress Jaime Murray uses this spelling of her name and pronounces it as "Jamie".
I cannot provide a definitive quote that says that GRRM has decreed it is pronounced one way or another but based on the above, common sense would indicate that the TV series portrays things as they are meant to be in this regard and that the one-word answer to your question is "No".