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Acrobatics:
This text doesn't mention anything about the roll being anything but a skill check. Nowhere in the rules does it state that a natural 20 on a skill check is an auto-success. In comparison, two situations where a natural 20 is an auto-success are on attack rolls and saving throws.
In addition, you can move through a threatened square without provoking an attack of opportunity from an enemy by using Acrobatics. When moving in this way, you move at half speed. You can move at full speed by increasing the DC of the check by 10. You cannot use Acrobatics to move past foes if your speed is reduced due to carrying a medium or heavy load or wearing medium or heavy armor. If an ability allows you to move at full speed under such conditions, you can use Acrobatics to move past foes. You can use Acrobatics in this way while prone, but doing so requires a full-round action to move 5 feet, and the DC is increased by 5. If you attempt to move though an enemy's space and fail the check, you lose the move action and provoke an attack of opportunity.
The answer: No