Yes.

> Isn't it impossible to move "near speed of light"?

From your perspective, you'll always be slower than light by C. Your speed relative to another observer, however, can be arbitrarily close to C.

In classical mechanics, your speed relative to the other observer could add to C, resulting in "your" light, from her point of view, traveling faster than C. To avoid that discrepancy, special relativity postulates that her (or your, depending on the POV) movement through time is slowed until you both agree that light is moving at precisely C.

Light travels at C (through a vacuum) regardless of your frame of reference, so it used as the comparator for speed/velocity among different frames of reference.

So, strictly it is not "regardless of your frame of reference". Accelerating frames, eg rotating or accelerating (eg under gravity where General relativity applies) require special treatments.