Yes. A worn inner CV joint, damaged axle shaft, or an axle installation problem can contribute to vibration or shuddering. Some axle-related concerns are most noticeable under acceleration rather than while coasting.
That pattern does not confirm the diagnosis. Mounts, tires, wheels, and other drivetrain components can produce similar symptoms.
Tell Certified Transmission at 2112 West Broadway in Council Bluffs when the vibration starts and whether the axle or suspension was recently serviced. Those details help guide checks of the axle and related components.