Yes, Rover built a small four seat saloon car powered by a gas-turbine, and even produced a sales brochure for it, but obviously never sold any, because the problems of noise and heavy fuel consumption were never solved.I think there was also a JET2.
The ultimate (lunacy??) in jet cars....Just joined so I hope that I am getting this right.
I never saw JET1 or JET2, but I do recall another has turbine powered car. Sometime in the mid-60s I attended a Scout rally at Handsworth Park. There was a rear-engined sports car which drove though the event with a jet sound. I was one of a crowd of boys who crowded around when it parked up. The driver got out and opened up the engine compartment. Cue mass retreat as the heat was tremendous. I never saw it heard anything of this car again.