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On a three dimensional basis yes it can. Fir instance, if an object is moving directly towards or away from you the angular displacement can be zero though the distance displacement changes.
Any number minus itself equals zero. Any number plus its opposite equals zero. Any number times zero equals zero.
Displacement is the area under the v-t graph.
Zero: Any number multiplied by zero equals zero, and zero divided by any number equals zero.
Displacement is only the distance from the starting point. As long as you return to where you started, then you can travel 1.0 x 10^999999999999 miles and still have a displacement of zero.