Nobody knows, but probably not.
Verizon put out a press release confirming that simultaneous calls and data will be allowed over LTE back on Dec 1:
Verizon 4G LTE Press Release and Details (Updated) - Droid Life: A Droid Community Blog
The money quote: "Calls will be 3G and data will be 4G. You can do both simultaneously. In the future, both will be 4G LTE"
For now, this means that you'll need to be in a 4G area and have 4G turned on in order to allow for this capability. After Verizon does their subsequent tower upgrades in the future, both will be over 4G