Are the 10 rings in Iron Man connected to Shang-Chi?
No, the 10 rings in Iron Man are not connected to Shang-Chi. The 10 rings in the Iron Man movie are actually a reference to the Mandarin, a villain from the Iron Man comics. In the comics, the Mandarin has 10 magical rings, each of which gives him a different power. This is the origin of the 10 rings in the Iron Man films.
Shang-Chi is a Marvel superhero who first appeared in the comics in 1973. He is a master of kung fu and his origin story is very different from Iron Man's. His main enemy is Fu Manchu, a villain who has nothing to do with the Iron Man films.
To sum up, the 10 rings in Iron Man are related to the Mandarin, a villain from the Iron Man comics. They have no connection to Shang-Chi, a Marvel superhero with a different origin story.