Hi Cindy,
Thanks for your inquiry. Yes, this material is available in high honed, which has a slightly shimmer and honed which is more like the matte finish you have described.
When placing your order, please specify that you would like a "honed" sample in the customer comments section, and that informs my warehouse staff to send you the correct finish.
The matte finish is available at the same cost.
Please let us know if there is anything else you need.
Best,
Tile-Stones.com