No. While it is very common for mesothelioma to come back, some patients have achieved remission (no evidence of disease) and become long-term mesothelioma survivors.
For example, renowned paleontologist Stephen Jay Gould was diagnosed with peritoneal mesothelioma and given a prognosis of 8 months. Experimental chemotherapy helped him survive 20 years before he died from an unrelated form of lung cancer in 2002.
Further, patients whose mesothelioma does return can still live for long periods. Mesothelioma specialists can recommend treatments to help patients live as long as possible after a recurrence (return of cancer).