If I 'wanted' to I could spin the wheels in my old 330CI easily enough, when I first had the car and I had just come from a diesel to it, it was the winter of 2006 and I was constantly getting the traction control on by accident, pulling away on greasy round-abouts and out of side turns etc, after a week or so I got used to the very different power delivery and it stopped happening, as I was more carefull with the throttle. Even so though, a spirited pull away would flash the TC lights easy enough in the wet.
In the dry on a good surface it took a bit more effort, but I could do it if I wanted to, certainly if I planted it from a standing start with the tc/dsc off the whole car would squirm as it fought for traction.
The car had plenty of grip, but it wasn't that difficult to 'make' it lose it, I'm sure the same must be true of the 328.