The UP Mini is compatible with ABS and PLA.
If you want to use a different type of material than the one currently loaded, reach out to John Bruner (Media Labs Manager) to make arrangements.
If you want to use even more kinds of material (resins), you can pay to print with the FormLabs 3D printer. Reach out to John Bruner to get started. Price depends on material, density, and size.
FormLabs 3D Printer Resource Guide