Continuity mistake: In the scene where Pacha and Kuzco are drying off after they fall over the waterfall, the slot for the wearer's head in the center of Pacha's poncho is clearly visible when Kuzco takes it and uses it to dry himself off. Following the shot change between when Kuzco throws it and when it lands on the fire Pacha is trying to light, the poncho becomes just a solid green square towel with no hole for the wearer to put his head through, which is easy to see when Pacha hangs it backup on another tree. (00:32:07)
Continuity mistake: In the scene where Pacha and Kuzco are hiding in a little room in the restaurant, the door next to them is closed. In the next shot, it's open.
Answer: No, not in the slightest. The names are similar, but it's an entirely new and different story.