I would like to know if the outputs of any given transaction can change over time. For example, suppose I send a payment to three different addresses creating an unconfirmed transaction with several outputs:

Output 0: Address1
Output 1: Address2
Output 2: Address3
Output 3: Address4
Output N: AddressN

If I examine that same transaction two or three months later, can the outputs index association have changed in any way? Or is that information deterministic in itself?

Thank you.