No, they don't. I can't think anyone would ever buy such a thing. It just isn't that hard to pick one up out of the box.
They make bullet feeders for Pro1000s and Loadmasters but they set the bullet in the case and you don't touch them. That is if you can get them work right.
Never heard of a bullet "dispenser" and wouldn't ever take a second look at one if someone did build one and offer it for sale.
That would be the epitome of laziness. If you are trying to load that fast on a LCT maybe it's time for an auto-progressive. An auto-progressive will free up three quarters of your reloading time from what it take you to run that LCT.
I'm not making fun of your press, I thought many times of buying a LCT myself, but I just can't imagine after running auto-progressives for over 30yrs why I would want to buy a bullet dispenser for a slower press instead of putting that money towards a more efficient one.