No. Comprehensive does cover non-accident damage, but only direct damage to the vehicle. It doesn't cover any type of wear & tear, mechanical breakdown or maintenance costs of any kind.
Comprehensive is also known as "fire & theft" coverage, because it covers the vehicle for damage due to fire, theft, lightning, flood, hail, vandalism, falling objects, stuff like that.
The coverage you're looking for is only provided by a warranty, guarantee or other maintenance contract.