Not really - a lot of the park QS restaurants don't have the option of getting a bottled drink unless it's water. Bottled drinks are prevalent in stores and at kiosks in the parks, but not at the QS restaurants themselves.
You can't split up your dining credit though, you have to order the beverage and the meal from the same place.
You can always redeem a snack credit for a bottle, although there are better snack values out there.
At resort QS, especially those with a large grab and go availability (mostly value or moderate resorts), you can possibly snag a bottled soda as your beverage.