Since Nintendo connection has stopped for DS.
From Pokédit site:
This Guide explains how to Send a Pokemon from PokEdit.com directly to your Nintendo DS game. Our GTS Service is compatible with the following Pokemon games: Pokemon Black 2, White 2, Black, White, HeartGold, SoulSilver, Platinum, Diamond, Pearl.
What you'll need:
>• Nintendo DS or 3DS • Compatible Pokemon Game • Wireless Internet Connection • Valid Friend Code
You'll need to have connected to Nintendo's Official GTS Server at least once to have receive a Friend Code. If you don't have your own Friend Code yet then please go to our I'm not receiving my Pokemon support section.
GTS/Wireless Internet Connection. Remember in pré-3DS, the Wi-fi is closed, so you can't use GTS.
Source Hope this helps
Pokémon from Pokédit are received via the GTS, which requires Internet to access. Pokédit itself has said it is not possible anymore because of this.
Source: Experience, I used Pokédit before internet services were taken down.