Answer
No.
Work Step by Step
The average drift speed is the magnitude of the average velocity in the direction of the wire.
This average is the result of erratic and high-speed motions in all directions (see fig. 21-5) where the position of the electron changes rapidly in a short span of time, colliding with atoms within the wire.
The net rate of change of position along the wire will be relatively small (in the text, a hundredth of a centimeter per second), but in the zig-zag path full of collisions, instantaneous velocities of the electron are large in magnitude.