TLDW Of course not, the Earth is too heavy.
It's a ridiculous concept.... but once again I've seen this was suggested by someone who may not have been making a joke. A review of Daniel Ellsberg's book "The Doomsday Machine: Confessions of a Nuclear War Planner" (http://amzn.to/2FsjYwE) mentions making ICBM's miss their target by changing the rotation of the earth using 'a thousand rocket engines'.
Uses visuals from Universe Sandbox2 https://www.humblebundle.com/s
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