Strength training in and of itself no but if the strength training leads to more muscle then yes. Muscle causes you to burn a higher percentage of calories at rest which is your metabolism or resting metabolic rate. It is the amount of calories you need for simple body functions.
But just because you strength train does not mean you will add muscle, many people do not add muscle when they train with weights. It is a cycle effect and good nutrition has to fuel your workouts which gives you the energy to train hard and output as much intensity as possible. If you use more intensity than you have in the past and then can recover through rest and appropriate calories and nutrition your body will become stronger. If you become stronger you will add lean muscle tissue, the lean muscle tissue will increase your resting metabolic rate causing you to burn more calories throughout the day and several other benefits.
Weight lifting in and of itself does not put on muscle, you have to be intentional and you have to do things right.