So, can you get warts on your tongue? The answer is yes. Even if the person you are having unprotected sex with does not show any active signs and symptoms at that time, if you happen to have even a small open wound, the virus could enter your body, and lead to symptoms like tongue warts. So, in such cases, it is best to take precautions by ensuring that you practice protected sex, because, as they say, prevention is better than cure.