Similar to others I called customer service last night and was told that there was nothing that they could do directly about accidental additional orders due to the misbehavior of the play store checkout process, and that I should refuse UPS delivery.
This morning I received an email from google stating
Thank you for your recent order placed on Google Play. Our records indicate that you have several open orders in our system. You can view them in your Google Wallet account at: https://wallet.google.com/manage/#transactions.
We would like to confirm that you intended to place all of these orders before processing occurs. If it was not your intention and this is an error, we have three easy ways for you to cancel any unwanted orders. Note that all orders not canceled within the next 24 hours will be processed and shipped.
It also contained links and descriptions of how to cancel orders.
I've since successfully cancelled the additional phone order via the online cancelation service described here:
Canceling or changing your order - Google Play Help
Based on the email I'm assuming my shipment is delayed by at least the 24 hrs of pending cancel time, but definitely worth it if you've accidentally wound up with more orders than you actually need...