If I understand your question, you want to “pocket” (so to speak) your DDP credits for the first day of your stay and proceed as if the 8 or 9 days worth of credits start on your second day, thus stretching into the extra single day you’re adding on (by way of a separate reservation).
I think the strict answer to your question is “no”. The DDP credits activate on check-in and must be used by check-out (of your original stay) and thus wouldn’t officially carry over to the extra day you’ve added on by separate reservation,
[B][I][U]But[/U][/I][/B], MickeyMom is correct about this potential work-around:
However, if you have points left over from your 1st ressie, they won’t expire until midnight of 10/2, so you could possibly use them.
You should be able to get your lunch, dinner and snacks covered by the DDP on 10/2. Your meals on 10/3 will not be covered by the plan.
Like lisalovesmickey says, though: I’m not speaking authoritatively here, just passing on my understanding. You probably want to check ahead of time, double-check at check-in, and reconfirm at check-out (on 10/2). And if anyone tells you that the credits from the first stay (9/24-10/2) [B][I]can be[/I][/B] transferred over to the 10/3 stay, get that in writing somehow. You’d hate to leave credits unused.