Zac, you probably could by saving and renaming such marks after the race or moving them to another marks folder before you re-ping another line. Then when you reload the track afterwards you could bring the relevant marks back in.
But I think you are implying a degree of precision in pinging, timekeeping and GPS that might be hard to manage in practice, and to what benefit? You could achieve the same result with a pencil log ("the second start was slow and we got jammed out") and a careful crew toolbox talk afterwards.
At least that's how I see it.