No. I believe if you do that you get curds and whey, which I don't care for.
To make yogurt you boil the milk, let it cool to 105F or so, add yogurt bacteria, and incubate for about 8 hours at roughly that temp. The easiest place to get yogurt bacteria is from a spoonful of yogurt (in that sense the process is akin to using and maintaining a sourdough starter), but I think you can buy them separately in powdered form as well.