I am afraid that it is not feasible to add outliers to the Box-and-Whisher series in TAChart. This is because in TAChart the chart-source which provides the data to the series must have a well-definded number of x and y values for all data points. In the Box-and-Whisker series there are 1 x value and 5 y values (whisker min, box min, box center, box max, whisker max). Outliers should be included in the same chart source. But since the number of outliers is not the same for all data points the source cannot have a pre-defined count of y values any more.
I'd recommend to put the outliers into a line series in which you turn on the pointer symbols and turn off the connecting lines. Give the outlier series the same color as the related box/whisker series to indicate that they belong together.
See a simple demo in the attachment.