From what I understand, I also don’t think that’s likely to happen in the way you describe it. As others have mentioned, it appears that life incarnated is about learning lessons for the soul. So in this scenario, would you have died unexpectedly at birth, or later on in life? If very young, then it may be that it was a lesson for your parents. In which case, them having another child and you returning may be a bit more likely. Although, if I was the parent I wouldn’t name my second child the same as the first one who died, as that would just be a painful reminder. However, that would be a different body, not the same one that you mention.
Now, if you were older, I think even more unlikely, as chances are there are choices you made in life that led you to that point and a premature death would mean that you didn’t take advantage of that life and its challenges to make good use of it. So you essentially ‘lose the slot’. You will get another chance, as you still have to learn the lessons your soul chose but I doubt it will be as that exact setup that you described, though a similar dynamic may exist, similar to what Oxajil described.
Another thought that comes to mind is that the concept ‘back in time’ is applicable to a 3rd density state. If you are the etheric dimension (5d), it is said to be a timeless state – so there is no "past" or "future". So the question is, since time is not linear in the sense we perceive it, are the options to incarnate and live lives on earth (or elsewhere) limited to choosing only those that have been experienced sequentially following the timeline of 3rd density or can one experience life incarnate in the past after having been incarnated in the future? If time is seen as more of a "space/location" then it doesn’t really matter "when" but more like a "where" when it comes to choosing what life to live, lessons to learn. Hence, once you give up that space, it's gone and you'd need to look for another one.
And if you haven’t already, you might want to check out Life Between Life. It provides some very interesting accounts of what people were experiencing in between incarnations.
FWIW
Now, if you were older, I think even more unlikely, as chances are there are choices you made in life that led you to that point and a premature death would mean that you didn’t take advantage of that life and its challenges to make good use of it. So you essentially ‘lose the slot’. You will get another chance, as you still have to learn the lessons your soul chose but I doubt it will be as that exact setup that you described, though a similar dynamic may exist, similar to what Oxajil described.
Another thought that comes to mind is that the concept ‘back in time’ is applicable to a 3rd density state. If you are the etheric dimension (5d), it is said to be a timeless state – so there is no "past" or "future". So the question is, since time is not linear in the sense we perceive it, are the options to incarnate and live lives on earth (or elsewhere) limited to choosing only those that have been experienced sequentially following the timeline of 3rd density or can one experience life incarnate in the past after having been incarnated in the future? If time is seen as more of a "space/location" then it doesn’t really matter "when" but more like a "where" when it comes to choosing what life to live, lessons to learn. Hence, once you give up that space, it's gone and you'd need to look for another one.
And if you haven’t already, you might want to check out Life Between Life. It provides some very interesting accounts of what people were experiencing in between incarnations.
FWIW