I'm not even sure a person could survive being in a magnetic field that strong. Motion of blood through the field would generate electric currents in the brain and heart (and elsewhere).
Induced by the hemoglobin movement?
Just motion of salty water in a magnetic field.
They said that the levitated frog was fine afterward, but I've always wondered about the effects of long-term exposure.
That sounds like a much more convincing explanation than “we simply don’t have this material”.
Back of the envelope tells me levitating a person would need a magnetic field 10x that of this frog droplet, or about 160 T. The magnetic pressure of a 160 T magnetic field 1.5 million psi, or about 100x the pressure at the bottom on the Marianna Trench, and also about 1/3rd the detonation pressure of military high explosives.