Yes, it is, though the homepage doesn't seem to explain it well.
You can connect to their "supernodes" which are the backbone, that connect to the Internet proper. You can also connect via other member nodes. So by my understanding of the colloquial term "mesh" for wifi, it is.
I do take issue with their FAQ stating they're not an ISP. They are providing Internet access to the public. They are an ISP, even if their structure and methods are unconventional. Maybe they're avoiding the term due to legalese?
It's an interesting project. I wonder if something like that would work in urban San Antonio... Hm!
It's not really a mesh network. It's basically stick a dish on your roof and point it at a tower downtown that has a direct connection to the internet.
Yes you can then extend it a bit a sort of create a mesh, but it's not really the same as having a mesh network which spreads out evenly from individual access points.
You are being downvoted, but this is a good point. People would usually expect it to be a peer-to-peer mesh system without any supernodes.
The problem is that in the experience of the similar German "freifunk" project, which tried this with custom router firmware, this really doesn't scale well, even with a custom developed routing protocol (B.A.T.M.A.N). So many Freifunk communities are also choosing this supernode setup as a compromise between "full" mesh and good connectivity.
"All of our network nodes cooperate in the distribution of data, and the network can also function independently in case of emergencies or internet shutdown."
It is a hybrid at this point. Supernode and hub connections are not mesh connections, but there is some second hop meshing still happening between nodes where there is not line of sight to a hub.
That does not describe anything related to a mesh network. It appears that the people running it are joining nodes in a mesh network, but they don't seem to be encouraging you to join in a mesh network.