Quite a bit of it, in fact, especially if we count biotechnology such as the Two Trees, as well as the cities and boats and various artifacts of Valinor. Feanor is the best artisan among the elves, and the Silmarils are not just good, but holy and sacred -- yet, in a sense, they are the products of technology.
What Tolkien distrusts is mass production. He glorifies smiths, but hates assembly lines. There's often an assumption that mass-produced goods are worse than individually-crafted artifacts, but in fact a Toyota is much more reliable than a Rolls Royce. In fantasy, though, and particularly in Tolkien's fantasy, that's not the way it works. The very best technology was the first, starting with the creations of the Valar, of which everything else is an echo, usually in a degraded form. Even weapons are better if they are older, and more numerous but less reliable if they are new.