I play both chess and poker and both games have things in common, but also things in which they do not share. There is not much value in trying to read a person in chess because the moves are objective. You play the best move and now they must try to find the best move. There is a psychology element to chess, but "bluffing" in chess doesn't look the same and even if you "bluff" with a questionable move in chess, it doesn't matter if they read you perfectly and know you are "bluffing" because they still need to find the objective refutation to your move if they want to "call" you on your bluff.
Overall, chess mind games (at least in that way) probably do more harm than good. It is better to be utilizing your clock to find objective best moves and calculate yourself.
Can/should you try to read other players in chess as you would in a game like poker? In poker, players can be tight vs. loose and passive vs. aggressive. Similarly, I've heard the chess joke, "If Tal sacrifices a piece, take it and then think. If Botvinnik sacrifices a piece, think and then take it. If Petrosian sacrifices a piece, resign." Is there any real benefit to trying to read your opponent, or does that do more harm than good?