We have technology to send probes and satellites to Mars under eight months and we are exploring planets outside the solar system so could we dig to the center of the Earth, We could if we worked on the mission 25 nonstop years. Obviously, We need time to work and improve machinery we would use to dig to the core.
Even if we can. Which we probably can't. Why would we?
If something goes wrong it could potentially destroy the Earth's magnetic field and kill us all. Until we are at a point in global warming where we have NO CHOICE but to find a method of strengthening the magnetic field I am against this proposal.