Yes, there are several ways. Create a new column with a formula, and from the list of functions in the formula editor select Statistical ► Col Standardize. Alternatively, use the Analyze ► Distribution platform and in the results window select Save ► Standardized from the inverted red triangle menu.
In JMP® 12 and later, another option is to right-click on the column of choice and select New Formula Column ► Distributional ► Standardize.
[Previously JMP Note 35353]