Yes.
Here's some pertinent language from our bicycle owners manual (not the SC service manual...rather, the generic manual for every bike):
USE SPECIAL CARE WHEN YOU ATTACH YOUR BIKE TO ANY DEVICE[/url]
If you attach your bicycle to a car carrier, workstand, trainer, or other object, you have attached it to a device. Such devices can damage your bicycle.
[snipped section regarding bike racks, car carriers and workstands]
A bicycle trainer is also a device. When clamped to a trainer, your bicycle experiences high forces that are very different from the forces that occur in normal riding. In extreme cases, the unusual forces applied by a trainer can actually break a frame. Avoid extremely hard efforts on a trainer, such as applying high side-loads when sprinting or climbing. Especially avoid trainers that rigidly hold the rear triangle of the frame while constraining movement of the rear wheel.
CAUTION—Clamping devices like those used by workstands, trainers, or car carriers can damage the finish on a bicycle, bend the dropouts, or even crush or break the tubing. Only use devices that are compatible, only use the devices correctly, and do not overtighten clamping mechanisms. If you are unsure about such devices, consult your dealer.
Carl Matson