True. Since you are moving along within the elevator at the same velocity, and there's no reference external to the elevator, like a window, from the frame of reference of the elevator, you and the elevator are not moving.
However, the air pressure changes on your eardrums, or the sudden deceleration or acceleration when the elevator slows or speeds subracting or adding to the force of gravity when you go down or up would be indicators that you are being subject to a force.
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