You could get drunk off of Jello Shots if you were to consume enough of the Jello Shots.
But most Jello Shots do not contain enough alcohol to make a person drunk even if they drank 10 or more of the Jello Shots.
If you added more alcohol content to the Jello Shots then you might get drunk off of them but it's nearly impossible for the average person drinking a few Jello Shots to get drunk from them.
You would likely get sick from a stomach ache before you actually drank enough Jello Shots to get drunk.
I've consumed 15 Jello Shots in a bet one day at home during a party and I didn't get drunk from them but my stomach hurt after that many.
Still it was a fun time and worth it.