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Yes-- when people have the onset of pain in the arms -- in both arms at the same time -- the one place where this can happen is due to pressure on the nerves in your neck.
Now it is a bit unusual for the pain to subside that quickly (usually, it will last days at the least), but it certainly is possible.
Heart related issues generally tend to affect the left side only.
So - should these pains persist or reappear again, it may be helpful to get a MRI of the cervical spine for further diagnosis.