As soon as I submitted this question, I found the answer myself. You do have a chance to get a shiny from a trade, regardless if the pokemon your trade is shiny or not. Also, you can see if the pokemon is shiny during the trade. For example, when you trade the Babarel for the Litleo, the Litleo wil look shiny if it is without checking the summary after the trade. Again, I hope this made sense...