Yes, there is a cartridge socket in the machine. Your computer needs to be turned on with Design Space, so that the cartridge can be placed in the software. The cartridge needs to be new, not installed anywhere else, or it won't be accepted.
If you have an old cartridge that has never been installed elsewhere those will be accepted or linked! If your old cartridges have been linked to Cricut Craft Room or Gypsy then those images will transfer to Design Space.