No, comprehensive coverages usually does not cover this type of accident. Since you slid on ice and collided with a telephone pole this would normally be covered under collision coverage and not comprehensive.

Comprehensive covers your vehicle, and sometimes other vehicles you may be driving for losses resulting from incidents other than collision. For example, comprehensive insurance covers damage to your car if it is stolen; or damaged by flood, fire, or animals.

Collision covers an accident such as yours where damage is done to your car when your car hits, or is hit by, another vehicle, or other object - such as the telephone pole.