It actually can, but to be fair, only under very specific circumstances. Something like at speeds over 70 MPH and the battery pack depleted.
No, that is quite misleading information that floats around the media and Internets. It's a zombie meme that's hard to stop.
The Volt frequently (majority of the time) runs in a series/parallel mode similar to how the Prius works (but different in some details) at speeds above 35-40 mph at lighter torque loads (mild acceleration on flat roads or less) and at higher torque as vehicle speeds go up. At speeds below 35 mph the Volt operates in series mode with the engine and generator un-clutched from the planetary ring gear.
The "infrequent" and "70 mph" thing was due to confused early media reporting that keeps replicating itself. It comes from an explanatory video shown to journalists that used 70 mph as a typical speed at which the Volt is almost always in its parallel configuration but unless you are flooring the "go" pedal it will have actually switched at a far lower speed.
Many people instinctually want to think that the Volt switches to its parallel mode under hard acceleration but actually that is when it really wants to switch to series mode and use it's electric motor only (with the gas engine just generating electricity together with power from the battery). Of course, the gas engine never starts up due to torque demand or vehicle speed -- that's GM's definition of an EREV. The gas engine is only in the picture when it is already running for other reasons (like an "empty" battery).
Specifically, under the US06 EPA highway test cycle, the Volt spends 58% with the gas engine mechanically connected, 16% in series mode with gas engine, 21% with engine off and using one electric motor, and 5% with engine off and using the two electric motors combined. In other words, it spends only 16% of the time in series mode with the gas engine turning the generator just making electricity.
US06 includes a bunch of starts and stops at the beginning and end of the test cycle which accounts for the time spent without the gas engine mechanically connected. The older, less aggressive, and freer-flowing HWFET highway cycle almost certainly spends even more time with the gas engine coupled although I haven't seen the numbers.
See this and the post following it for some graphs and textual descriptions which are based on an SAE technical paper written by the GM engineers that designed the Volt transmission:
CS mode thread at GM-Volt forum