Yes. Acceleration places components under load, which can make a worn CV joint, driveshaft problem, or damaged mount more noticeable. Shaking can also come from an engine-running problem rather than a rotating drivetrain part.
Note whether the shaking stops as soon as you ease off the accelerator, whether it occurs in a particular gear, and whether any warning lights appear. These observations help separate different possible causes.
Certified Transmission in Council Bluffs, IA can inspect the concern and explain what the findings mean before recommending repairs.