Sort of. A full trillion-parameter model needs about $300k of server hardware to run in and a lot of electricity, making it feasible only for very wealthy individuals, but quite practical for businesses and institutions above a certain size...although they in turn would typically gatekeep access.

You can drastically reduce the requirements by running models at a lower bitrate, which somewhat reduces accuracy but not that much - think of the difference between an MP3 vs uncompressed audio. With this and other tricks, you can get high end models down to a size where they can be run on a high spec desktop workstation affordable by an individual or small business.

Obviously I'm heavily oversimplifying here. I think a useful parallel is to consider situations from the past where you would once have required corporate budgets equivalent to the price of a house to run a large database, but over time it became accessible to anyone with the requisite expertise and relatively affordable hardware.