Many Chinese inventions had already made their way to Europe by this time, stirrups being one prime example. So, could someone have made Ring Mail and used it in Medieval Europe? Sure. Was it commonly in use, most likely not.
Not only are stirrups Indian, they are also an idea ("let's connect a riders leg to the saddle"), where as a ring mail has an entire manufacturing technique to go with it.
More importantly, while they could conceivably make it, would they? Not really. Between it being a foreign design and being, frankly, inferior to a chain-mail, while requiring almost as much labor (alternatively being more labor intensive then a brigandine in both production and maintenance and only marginally lighter) and finally being rather too expensive to make on a lark, I doubt anyone in Europe would be making these.
I didn't know that the Jin Dynasty was from India?
Paired stirrups were credited with that Dynasty.
What you are talking about is a single toe loop, used more for mounting a horse than staying on it while under way. Not sure I would consider that a stirrup. But again, we are talking semantics, as with Ring Mail.
Not sure how you think making a few dozen 2" or 3" rings, and sewing them to a single leather hauberk at four points on each ring, is more labor intensive than:
1) Making thousands of tiny links, linking and riveting them together to form a full shirt. (Having helped a Dutch friend make a suit in 1986, which we did not rivet, but simply butted the ends of each link. I know how labor intensive this process is first hand.)
or
2) Making dozens of small metal plates, sandwiching them between a layer of cloth and leather, and sewing them in place. (Again, I (With lots of help from others) made a suit of Bridandine for fighting in the SCA in the late 80's, again in Europe, using thick leather instead of metal plates, and two layers of manufactured cloth.)
As for maintenance of said armors, brigandine would have to have the cloth backing replaced at least annualy, that is if you only practiced in it and didn't actually have a sword cut through the material. The edges of the metal plates easily wearing through the cloth with normal wear. Heck, my leather plates wore the cloth bare quickly, through normal use, fighting with duct tape wrapped rattan instead of steel blades.
Chain mail required extensive maintenance, oiling to prevent rust, broken links from combat, requiring repairs.
Seems to me, both are far more labor intensive in creation and repair than Ring Mail would be.
Just sayin'