Is it possible to burn more calories weight lifting than doing cardio?

You'll burn more calories weight training (resistance training).

The physical act of lifting weights burns calories. If you opt for adding in calisthenics or circuit training, you will also get cardio benefits.

Truth be told, strength training can help you to burn more calories even when you're not working out!  

By lifting weights to add muscle mass, you're boosting your metabolism. Boosting metabolism will help your body burn even more calories!