Unfortunately that's not possible, at least not at the moment. That colorization data is actually hardcoded directly into the GBC's BIOS, with each game having its own entry. As nobody has been able to dump the GBC BIOS, we cannot get access to that data.
There's nothing to stop us from creating our own database of colorization data, but we'd have to do it ourselves for each game. Perhaps a Game Boy Player + compatible video card could be used to get a screenshot of the game and capture the appropriate color values in a way the emulator could accept, but this is purely theoretical at this point.
Fun fact: the original Game Boy BIOS is similarly difficult to dump. The only way it was accomplished was through the use of dyes, an electron microscope, and a lot of patience in reading back ones and zeros bit-by-bit. Same approach doesn't appear to be possible for the GBC though, sadly.