Only over an electromagnet, not a fixed one (to our knowledge). Digmagnetic levitation requires more than one magnet or an electromagnet.

https://en.m.wikipedia.org/wiki/Magnetic_levitation

When do we start building things out of superconducting frogs?

> Frogs can do that too

One even did that on the cover of Nature, iirc.

Using a 'slightly' stronger magnetic field...