Is Unobtainium in the movie The Core (2003) possible?

From the Movie's wiki page:

Earth's magnetic field will collapse, irradiating the planet. The three develop a plan with the United States government to bore into the Earth's core and plant a series of nuclear charges at precise points to restart the core's motion and restore the field. A former colleague-turned-adversary of Professor Zimsky, the rogue scientist Ed "Braz" > Brazzelton (Delroy Lindo), has developed plans for a nuclear powered vessel that could quickly drill through to the core aided by a high frequency pulse laser, with a hull made of "Unobtainium", an indestructible metal that can withstand the heat and pressure of the core.

It is also said in the movie that this unobtainium converts pressure into energy, thereby making it stronger as the pressure rises.

What I would like to know is if this science fiction material is actually science fact.