If you are using the affine parameters, you can’t limit the value range of the output activations, since e.g. a high weight value might scale the values to an arbitrary large range.
However, if you set affine=False, during training each batch will be standardized using your formula, which might create a standard normal distribution. The values would therefore be determined by the 68-95-99.7 rule 8. So you will not limit the range to particular values. However, take these explanations with a grain of salt, as the distribution of your input activations might be completely different.