I am assuming you are using the Optimization app. As per my understanding, you wish to confirm if Fitness Limit is a stopping criterion which is based on the value of fitness function.
Yes, the algorithm stops when the value of the fitness function ( synonymous with objective function ) for the best point in the current population is less than or equal to Fitness limit as mentioned in the following documentation:
Further, you can also refer to the following documentation for more information on "Global vs. Local Minima Using ga":
