Sometimes. People meeting in real life, exchanging email addresses, and noticing they're both on GMail, is common enough for some people, they really are on GMail. Implying they could chat trivially. But that's not applicable to the scenario under discussion.
Actually you'd just say you drove to the store. We don't really care if you own a car, a truck, and a SUV in your driveway. We don't expect you to have a horse and buggy.