No, the colour is printed on during manufacture. I dunno what they use to make the dye bond with the Cordura, but it's probably a ketone which interferes with polymerisation enough to keep the 'ink' liquid, but as it evaporates leaves a thin coat of newly formed polymer bonded at a molecular level to the thread.
You'll not find anything short of Gloss Paint that can do the same to thread which is specifically designed to shed liquid...