Answer:
No, Parisian playwright, performer and director Molière (January 15, 1622 - February 17, 1673) was not a hyperchondriac.
Specifically, a hyperchrondriac imagines himself/herself to be the victim of illnesses. Molière suffered from very real, serious illnesses. In fact, he was not in good health and towards the end of his life suffered from pulmonary tuberculosis. The confusion arises from his having written a play about a hyperchondriac, the role of which he himself was known to play.