No, as defined by federal banking laws, that could be construed as a form of money laundering. Banks are coming under increasing scrutiny for money laundering and consequently, are reviewing transactions more closely.
Funds from Apple Savings need to be transferred to another bank account via the ACH network. You can transfer them instantly to another bank account or over the same network, but with less priority and taking from 1 to 3 business days for the transfer to be received.
Apple Savings (nor is any High Yield Savings Account) offering a bill payment service, which is basically what you are asking for. Banks cannot/will not pay the higher interest rates and offer all the traditional and extra services of a low or no interest savings account.