Answer
No.
Work Step by Step
The time-averaged magnetic field of the laser beam is zero, and the magnetic field oscillates back and forth so rapidly that the needle would have no time to react.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.