Can Arduino do this ArtWork?
Basically, i am doing a media wall with 1000 points of stepper motors.
Well it depends on your requirements and on how you organise your steppers, but if it's just to bridge the gap between the motor drivers and the computer, the Arduino should be powerful enough and even have enough RAM.
Those 1000 stepper motors need to driven electrically somehow. Do you have some plan how you want to do that? What's your budget? If you get the stepper motors for $1 you might need to spend another $1 or more per motor to drive them. Custom boards to drive the motors should start to make sense at this scale. Or do you plan to address them as a matrix? The programming of the Arduino depends mostly how the hardware is solved and the hardware will determine the costs.
By the way, the installations shown might work with cheaper DC-motors. For the second one, attach small propellers to it and you just need to control the direction. In the first example, if the flower gears are driven with a rubber wheel, you can also get away with just running the motor more or less the appropriate time. Those motors usually cost less than what steppers cost.