No, tapeworms do not have a mouth.
Tapeworms are parasitic flatworms that live in the intestines of their hosts. Unlike many other animals, they lack a mouth and a digestive tract. Instead, they absorb nutrients directly through their tough outer covering, called a cuticle. This adaptation is possible because tapeworms live in an environment already rich in digested food within the host's intestines.
The tapeworm's head, known as the scolex, is equipped with suckers and often hooks that allow it to attach firmly to the intestinal wall of the host. This attachment ensures the tapeworm remains in place to absorb nutrients. Because they can directly absorb nutrients they do not need to ingest or digest their own food. The lack of a mouth is also accompanied by the absence of a circulatory system and specialized gas exchange organs, furthering their unique adaptation to a parasitic lifestyle.