Is Time Misconception of the Transformations Possible?

Time is quite interesting phenomenon in physics, and it seems is relative; but what does it mean to be relative of time? What does to be fixed of light speed mean? Does to be fixed of light speed require observation at light speed? What if we can observe faster than light speed because of increased frame number? Is time effective for this imaginary effect or also time itself is dependent on another actual causative phenomenon? Is it possible to make a wrong conception for time and speed even if the phenomenon we advocate is actually true?