Well, in principle it is not possible. However, it could look like you go faster than light in 3 dimensions if you would somehow take a shortcut through another dimension. That’s one of the predictions of String Theory! But it has not been observed yet…
Very certainly, if you would, the world would look very different to you. Things around you would look very distorted, because the faster you go the bigger objects look around you. You would also receive in your face an incredibly energetic radiation so you’d rather wear good glasses!
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