Watch this story on youtube, they say “Aladdin touched his fingers on the ring” at 4:12.
It seems that the people read that story are native English speakers.
I checked variety of dictionaries and it seems none says "touch your hand/finger... on something" but rather "touch something with your hand/finger..."
But people actually say that in a poem Cifra Club - Sylford Walker - Golden Pen
"You got to touch your finger on Jah golden pen"
Do native English speakers say "Aladdin touched his fingers on the ring”?
Note: I suspect the script of the video above was written by non-native speakers or near-native speakers ad therefore their English is not perfect.