Yes, it is possible for two objects with different accelerations to have the same average velocity. The reason for this is that the average velocity is determined by the displacement of an object over a given time interval, whereas acceleration measures the change in velocity over time.
For example, suppose that Object A and Object B both start at the same point and travel a total distance of 100 meters in 10 seconds. Object A has a constant acceleration of 2 m/s^2, while Object B has a constant acceleration of 5 m/s^2. Although Object B has a greater acceleration, it also experiences greater changes in velocity over time and may therefore take longer to cover the same distance. In this case, both objects will have the same average velocity of 10 m/s, even though their accelerations are different.
Therefore, the average velocity of an object depends only on its displacement over a given time interval and is not affected by its acceleration, as long as the acceleration is constant over the time interval of interest.