Will insurance company cover an accident involving two veheicles owned by insured?

Yes, if it was a "true" accident. My wife once backed in one of our cars from the garage and didn't notice the second car was in the driveway.... Yes, stupidity but it happened. It wasn't fabricated a mere distraction. The bad part is that being your own insurance, they will charge you 2 deductibles, one for each vehicle.