Sure. He funds Eliezer Yudkowsky through MIRI; "friendly AI" futurism is at this point a branch of the "Dark Enlightenment". Thiel himself has famously said "I no longer believe that freedom and democracy are compatible".
I'm on the record as having several severe criticisms of EY/MIRI, but being neoreactionaries is not one of them.
I'm referring more generally to the "Dark Enlightenment" than just neoreactionaries. In that group I include pretty much any group focused on alternatives to liberal democracy, with carve-outs for Marxists and fascists. EY fits comfortably into that category (see his "Politics Is The Mind-Killer" tract).
Whether this is what most other people mean with the terms you just used, is another point entirely.