Frank Miller's All Star Batman? Yes.
Classic, DC, Batman? No. We see Batman, as Bruce Wayne, more or less run a perfectly normal life with reasonably normal relationships with those closest to him (Alfred and whoever is Robin this year) while operating as the head of, in some capacity, a major international corporation. Even as Batman we see him have some level of a normal relationship with other members of the Justice League (most notably Superman.)
He's just able to put on a good show of being crazy to put terror into the hearts and minds of Gotham's criminals. Batman isn't strictly "crazy" but he's able to put on a good enough show of it to make criminals second guess themselves a little bit.