I don't think so. "Territoire Numérique Ouvert" seems to be a private project that would give tools to the "collectivités territoriales" (i.e. mayors and local people).

La Suite Numerique is a bunch of tools for a more global population. It's mostly for government workers I guess but it looks like anyone can use it. The most famous tool is Tchap (see <https://en.wikipedia.org/wiki/Matrix_(protocol)>) which is used by cops in France as a secure messaging platform.