The symptom you are experiencing, where the car kicks during downshifts and upshifts, is not considered normal for a properly functioning vehicle. Such symptoms can indicate potential issues with the transmission or clutch system.

Possible causes of this problem include:

1. Worn clutch components: If the clutch is worn out or damaged, it can result in improper engagement or disengagement of gears during shifting. This can cause the car to jerk or kick.
2. Transmission issues: Problems within the transmission, such as worn synchronizers or gears, can lead to rough shifting. The transmission may not be smoothly engaging or disengaging gears, resulting in the jerking or kicking sensation.
3. Low transmission fluid: Insufficient or contaminated transmission fluid can affect the proper functioning of the transmission, leading to issues during shifting.
4. Malfunctioning transmission control module: The transmission control module (TCM) is responsible for controlling various aspects of the transmission system. If the TCM is faulty or not calibrated correctly, it can cause erratic shifting behavior.

To resolve this issue, it is best to consult with a professional mechanic who can diagnose the specific problem. They will be able to conduct a thorough inspection of the clutch, transmission, and related components to identify the root cause. Based on their findings, they can offer the appropriate repair or replacement solutions to resolve the kicking issue during shift changes.