You can make chess in construct, but it will take some doing to make a computer player.
Here are some helpful websites on the subject:
Here is an initial stage of a checkers game I was making (not the same as chess I know, but similar). It allows movement of any piece, capturing of the other colors piece, and kinging. I didn't go any further, because it would become very complex making a smart enough computer ai to make it enjoyable to play. Complexities aside, I find checkers more enjoyable to play against a human player.