kg - Mass
      m - Position
      s - Time

   m/s  - Velocity
   m/s² - Acceleration
   m/s³ - Impelleration

kg m/s  - Momentum
kg m/s² - Force
kg m/s³ - Surge

Impelleration - the increase or decrease in acceleration.

Yes, acceleration can change.

A falling body will experience a change in acceleration.

At very small changes in distance, the change in acceleration is not noticeable.

However, if a body fell from say 10,000 km at rest, it would experience increasing acceleration as it moved to the surface of the Earth or a surge in the force of the gravitational pull.

In other words, its acceleration would be impelled to increase.