Can you have a zero velocity and nonzero average acceleration?
I am confused with the word "average" here. If the question would be, "Can you have a zero velocity and nonzero acceleration?" my answer would be yes. An example would be a ball thrown upward. At the highest point, the velocity is zero and instantaneous acceleration is -9.8 m/s$^2$. Since the question states that average acceleration, I can't think of an example that would satisfy the question.