Yes it is possible to put some animals into a trance. I cannot remember if cats are featured but you will find a nice right up of methods to hypnotise chickens, frogs and others in Ormond McGills Encyclopeodia of stage hypnosis.
The chicken for example: Grab a chicken and put its head on the ground so its head is on the floor , beak forward, get a piece of chalk and draw a line forward from its beak. The bird goes into a trance, doesnt move.
I have certainly had a cat in a state of body catalepsy as i am sure most cat owners have at some point. Or does that jus make me a bit strange...