The Laureates have the opportunity to order up to three replicas in gold plated bronze in addition to the one original Nobel medal in 18 carat gold that is awarded them individually. More about the Nobel Medals.
The Nobel Foundation is most restrictive in permitting the use of these trademarks. For details, see Copyright Information.
Here you can find more information about the Nobel Medals.
No, you have to ask for permission from the Nobel Foundation.