I've used both Swing and SWT, although never in the same application/project before.
As long as your not trying to mix components together within the same windows I don't see any reason you can't have completely separate windows/dialogs each using a specific widget set. However, trying to mix SWT and Swing within a single window would likely never work, or at the very least cause lots of problems since both widget sets rely on completely different means of drawing/layout - Swing's components are all handled directly within Java and are completely separated from the underlying OS, while SWT explicitly relies on the underlying OS to do all (or most) of the GUI rendering. Trying to mix the two would likely cause all kinds of problems.
Of course, I'll throw out the usual "this isn't a recommended practice" response as well: Unless you have some really specific goal in mind here, mixing different widget sets in the same application is not a good idea. Swing and SWT have two completely different philosophies and underlying architectures. In fact SWT was born from the fact that IBM/OTI did not like the approach that was taken with Swing and so chose to implement their own widgets. With such contrasting approaches to GUI widgets, you're better off just choosing one and sticking with it, rather than mingling the two together.