As Hoppy says, the rules for transport category planes require that it be able to lose an engine during the TO roll and if this happened above the speed at which it could be stopped on the runway, it will have a positive rate of climb. There is no standard for what that rate of climb is with the gear down, just that it be positive. The first thing that happens after the TO is gear retraction and that gets you into the second and third segment climbs which each have some requirements. You're putting multiple failures together which go beyond the certification of the aircraft. If you're takeing off out over the ocean I'd said you should make it, if the airport is surrounded by mountains maybe not.