Are there rules for attacking whilst falling?

Consider a character with the ability to cast quickened Dimension Door and the Dimensional Agility feat. Such a character could use Dimension Door to appear next to an enemy and then proceed to make a full attack.

But what if the enemy in question was flying above the character? Rules for falling state that you generally cannot cast a spell while falling, but make no mention of other forms of attack.

Are there any rules for making attacks while falling? As a GM, I would argue that the character could make a single attack (or combat maneuver, such as grapple,) before falling out of range of the target, but I see no rules preventing the character from making a full attack on the flying enemy before falling back to earth.