The only real difference between hand lotion and body lotion is where they are applied on the body. A body lotion is applied to your body and a hand lotion is applied to your hands. The purpose of these lotions is so that you are properly taking care of your skin. These can be used to make your skin appear younger, prevent skin irritation and acne.
The answer is no. These lotions were designed very specifically so if you need to apply some to your face you should get some face lotion. There is also the possibility that if you do apply it to your face you could cause more irritation to your face due to their fragrances.