No, Jesus Christ is understood to be a prophet or messenger in Islam but he was not a Muslim. Muslimism originated centuries after the death of Yeshua bar Yosef(Jesus), whose followers later founded the Christian religion based on his teachings and life teachings passed down orally until they were penued down, providing context for Islam being a separate faith platform altogether. Therefore, while there may be many similarities in their beliefs concerning prophets like Jesus Christ who preached compassion and kindness towards others.