Charlie, did you mean one inch thick bowl? It must be hard to vacuum chuck a one inch diameter bowl.
When I am goofing off, I sometimes make bowls only an inch or so in diameter - it is amazing how people love them for paper clips or pins.
My vacuum chick consists of a 12 inch diameter piece of plywood attached to the faceplate of my lathe, with a closed cell rubber pad and a hole, about 1/4 inch diameter, through the center, through the headstock, through the vacuum adapter (which is just a sealed ball bearing that fits in the center of the lathe handle. Part of the "lathe vacuum adapter" was a small pipe that fits in the the center of that ball bearing. I have a piece I can clip my vacuum pump to (much like a tire air nozzle), but I also turned a block that functions as an adapter from my shop vac to that pipe.
With a 1 inch diameter bowl you only have about .78 square inches for the air to push on (you are only interested in the force against the face plate, so it doesn't matter how tall the bowl is), or only about 10 pounds holding it to the face plate. Not very much when you push the side with a chisel.
By the time you get to 2 inch diameter, you have about 3.141559 square inches, or are approaching 50 pounds against the faceplate... Not as much as the tailstock might push, but getting useful.
With a 4 inch diameter bowl, you have 12.5 square inches, approaching 180 pounds against the headstock, and the vacuum chuck starts to be useful. Or maybe you can use less vacuum, such as a shop vac.
But try turning a 1 or 1 1/2 inch bowl out of a scrap of 3/4 inch hardwood, and see how many friends you make!