Using acid to dissolve and draw out the nuclear material is a possibility, but there are complications.
The stuff is currently somewhere under a lake of 80,000 tons of water, possibly in blobs at the bottom of the reactor vessels or on the pedestals that hold the reactors. With the site badly contaminated and the water quite loaded with radioactive material, no one as yet has come up with a way to find the core material, much less remove it. It will probably take decades, judging by the Chernobyl example, where that material is still there, with no plans to remove it, more than 25 years after the accident.