My info is a year old and this field moves quickly, so do check to see if things have changed.
But - if they are only able to take 1 cell from the embryo to test, then they can only do 1 sort of test (either a PCR-based one or a chromosome counting one). So you can either get tested for cell-division-problems (which is something that Sydney IVF does as part of a service for women with issues with recurrent miscarriages) or you can get tested for one or more specific defective genes.

What may have changed is that they may be able to culture the embryos through another cell division and hence have enough cells to take more to test.