In a word, "No." K-31's genetic color is light green. If you absolutely drench it in iron it'll turn battleship gray-green and look alien for a while before reverting.

Lime will actually reduce the green color by binding iron.

You might try just the smallest bit of magnesium--and I mean just the slightest bit--in combination with iron. A pinch of Epsom salt in a gallon of water, and water a patch with it such that the patch is wet to a depth of at least 2" by what you watered. It only has an effect if your soil has a shortage of magnesium, which most don't, and it almost certainly isn't an issue where you are, but might be worth a last-ditch effort.

However, magnesium is also, technically, liming--hence the Epsom salt, which won't impact the pH.