Bismihi ta'ala
No, according to our Shi'i belief, Adam and Eve (a.s.) were both created at one time.
Please watch this presentation:
Shaykh Dr Zaid Alsalami is an Iraqi born scholar, raised in Australia. He obtained a BA from Al-Mustafa University, Qom, and an MA from the Islamic College in London. He also obtained a PhD from ANU, Canberra. He has written and translated several Islamic texts and also prepared educational videos on Islamic rulings and practices.