Unfortunately, no.
You'll only get a paint chip of a gifted car if the paint is original to when that car was bought/won.
You will get the paint chip of the original color. I have a Verde Ithaca LP670 that I painted from a LP640 chip, but whenever I gift it back and forth I get the original Grigio Telesto chip. So pick the colors you really want to buy and have...matte black seems to be the only replicable matte color.