Currently the materials needed to descend into the Earth's core simply don't exist. You'd need something with an incredibly high melting point, almost zero heat conduction, and capable of withstanding pressures that could crush a human being into the size of a marble.
Not only that but that but you'd have to devise a way to communicate that far down into the planet. Electromagnetic waves could not possibly reach that far down, you'd have to use something else, and while science has discovered particles that could work, we are a long ways off from using them to communicate.
So bottom line: Maybe within a few decades, while impossible today there's no telling what science will discover.
You need a way to refresh your tunnelling mechanism. Silicon-carbide bits dont last forever.