Can a man, from Islam’s viewpoint, be born twice in the world?

If what you mean is, to be born again in this world, it will suffice to say, that it is possible only by a miraculous power as has been done before; for example, Jesus (a.s) who gave life to the dead, and is confirmed in the Qur’an. But if you mean reincarnation (holul) and the transmigration of souls (tanasukh) – whereby the soul of a dead person comes to life in another body and enters the world – then Islamically and in actuality, this is a null-and-void theory.