Other mistake: At one point during the sub-titled Russian scenes, the word Annihilation is used. However, it was mis-spelled as Anihilation.
Other mistake: When Clark cut the Ukrainian fence with a gas device, the following two shots of the fence show that the links were clearly not cut, but just undamaged cyclone fencing.
Answer: Nope. A nuclear detonation requires a highly specific sequence of events to occur within the bomb - an explosion nearby wouldn't come close to producing those conditions. The construction of a nuclear bomb requires components to be placed in a highly specific configuration - damage to the bomb would disrupt that configuration and make it effectively impossible for the bomb to go off.
Tailkinker ★