Answer
It is possible to have nonzero velocity and nonzero average velocity.Consider the motion with the help of graph as follows.
Work Step by Step
1) Average velocity is the ration of displacement to elapsed time.
Thus, if displacement is zero ( 0 ) , So is average velocity.
2) If at some point of motion you are in [ The Same ] position from which you started [ picture a circular racking track ] at that moment in your time your displacement is zero ( 0 ) ,However you are in motion, So you have non zero [instantaneous] velocity.
