Normalising data with multiple methods
Depends on the dataset, and what you're looking for. 

It is possible to do multiple data transformations. Standardization is often the safest choice, but only when the data is normally distributed.

If you have normalized the data, you can always apply standardisation. Standardization does not mutate the data set, but rescaling does create a new data set. From the standardized data set you can go back to the original data set.