Part of the issue is time: a PC can only make one attack at the end of a charge because of the time allotted, most (half?) of it is spent moving. PCs, as humanoids, make their attacks sequentially, requiring more time for each attack.
An animal, in "game" theory, can make its attacks simultaneously, especially while airborne and not relying on its weapons (paws) to hold it off the ground. So the extra time to make extra swings is not required.
How would a PC pull this off? Piercing weapons could be used simultaneously in a charge (but lack the advantage of being reinforced by full body weight). Swung weapons, no, not likely.
The other part of the issue is the intent of the feat. People don't pounce. Animals do. Maybe your person is animalistic, and so could use a pounce - a jumping maneuver - to combine a weapon attack and something else, like a bite, grapple, touch attack, or overrun. Just remember that an animal has four legs to support landing, and the PC...not so many.
-Heinrich smiles. Cynthia smiles. Hermit attacks!