Could humans alter the moon's orbit significantly with current technology?

A terrible virus has made most of the populations and government officials of the largest superpowers on Earth stark, raving mad, without depriving them of their intelligence.

They have decided that they want to alter the orbit of the moon. Would it be be technically possible for humans to alter the moon's orbit if they wanted to?

For example, if 200 copies of the Tsar Bomba were detonated at the same time on one side, would that alter the moon's course significantly?

If significant enough, could it make the moon collide with Earth? (A borderline undesirable scenario.)

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Could humans alter the moon's orbit significantly with current technology?

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