Not the whole turbine, but they are manufacturing turbine blades in bastrop texas. The turbines are available right away, but the blades are 12-18 month lead time, so Elon built a foundry. From what i heard they've only gotten a couple proto's out of the foundry/ no idea the grain quality. But they are doing it.
> "SpaceX has the vertical integration to be able to plonk down datacenters and get them powered with literal jet/rocket engines/turbines that they make from scratch"
At this point, you can get the chips you just can't get the power. So in typical elon fashion, he just "solves" the bottleneck. Long term, no, that is not the strat. Thus the pivot to space.
We'll be forgiven for expecting the new overlords will take over in the bang of boiling oceans, as we miss the significant whimper of a cold Texan winter.