... as long as that's a DVI-I connector w/ digital and analog copies of the same screen image, yes.
If it's a digital-only DVI-D out, then no. But fear not, DVI-I is the more common one on standard graphics cards.
The DVI-I connector has three blade shaped contacts aside lots of pin shaped ones. These three are the
analog Red, Green and Blue signals which the DVI-to-VGA adapter will hand over to the 15-pin VGA connector.
These three are missing from DVI-D, so that's easily recognized.
regards, Peter