From the BEA report - numerous pieces of aircraft were found between the end of the runway and the crash site, including; access panels, fuel tank fragments, tail cone structural parts and anti-collision light, ducting, hydraulic lines and shut-off valves, and parts of the left wing and fuselage structure. Many of these parts were damaged by fire.
Put simply, as ChristiannJ says, the aircraft was doomed from the moment an uncontrolled fire broke out. It is highly questionable whether they could ever have made it to Le Bourget – regardless of the number of functioning engines or the position of the landing gear.