sort of... Not in the Jules Verne way with Rod Taylor sitting in a seat as he's wizzed into the past or future. But it does exist, and I'm willing to bet most who've seen it never realized it. I don't know what you think of if you think of time machine, but I think how great it would be to watch what actually happened at the sermon on the mount, or the building of the pyramids, or DaVinci as he paints the Cistine Chapel, or Van Gogh as he cuts off his ear, or the Wright brothers taking off, etc. My other idea is load a jeep and machine gun and go back to the old west and show them how robbing a stagecoach or bank should be done, I know, not a good idea.
Anyway, I not too long ago realized in one sense we do have a time machine, it's old movies, or tv for that matter. I've always loved movies from the thirties, forties, and fifties. I at some point realized that if you watch the stuff going on around the fiction/story, you're watching the past, as it was 30-50-70 or more years ago. You'll see the cars, airplanes, trucks, and trains in context, in use, not static displays in museums. You'll see how people really dressed, hairstyles, talked, how they traveled, the stores that existed at the time, streets as they were, offices, stores, homes as they were, you'll see life as it was lived.
Since I started watching this time machine, I've realized that we today are virtually no different if you take away the computers. With that exception, and the super casual dress of both men and women, there is little difference.