Of course! You and your figures follow mostly the normal chess rules. The except here is - you may do multiple turns in a row if you continously defeat enemies in them.
The enemies do not follow chess patterns but instead follow generic turn-based strategy game patterns. All of them act in one turn and they will move towards your castle (the bottom of the screen). The red area that is indicated on the enemies is their attack zone. If a figure stands in it, it will be defeated by an enemy.
The challenge in this game is to defeat enemies quicker than they can spawn while also trying to keep your figures out of the red danger zone.