No, it doesn't. It's often used as a joke. It means "Now you've gotten lucky, don't be greedy and try to get even more out of it."
If I steal an apple from the fruit market and, after eating it, I say to my friend "Now let's go and steal a hamburger!!", he might say to me "Don't push your luck."
By the way, allow me to say, you have a beautiful foot and a beautiful cat.