Light travels with speed 3*10^8 m/s but then also we can see it....and also it is very difficult to achieve speed of light only matters like electrons etc. Can achieve it.so i think you can only sense that something has moved in front of you when something moved away from you with speed of light.i think this ca be the reason.....
The Doppler shift is used to track stars blue and they are hotter and moving at you...a red shift is cooler and they are moving away. A mysterious star that is not yet explained. Is both blue and red
Doppler radar uses this in weather tracking winds and in predicting tornadoes.
If it is giving off light, then yes. If you are looking for a reflection of light from your position, then no, as your light would never catch up to it to be reflected.
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