there are currently two methods of printing with carbon fibre.

You can buy cheap (ish) filament for ordinary fdm machines that is usually pla with carbon fibres mixed in.
It's not true carbon fibre but it does produce stiffer and stronger prints than standard pla.

And the mark forge method. They embed continuous (proper) carbon fibre in a nylon substrate giving a an incredibly strong and rigid carbon fibre composite.
Getting someone with a mark forge to print your part would be your best bet.