if you mean the trading system for the game than no. the trading system only works on the ds.
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Go to Goldenrod then enter the GTS check the pokemons you want to trade with you have to have Wifi talk to the lady at the counter then connect to Wifi then there you go!
If you mean the one to go onto the GTS, the bottom floor of the Pokemon center.
You can use the GTS in Pokemon Platinum after you get the first gym badge from the Oreburgh City gym.
You can't check what Pokemon are up for trade beforehand.
You can't put it on the website,but going into the GTS on your game you can.