No, if you have integrated video your only option would be a discreet card.
Well, I suppose if you wanted to desolder a few hundred tiny pins, and could get your hands on a new chip, then resolder all of those pins, it's at least possible in theory. I don't think anyone would actually want to spend about 2 hours on both ends, not to mention pay about as much for a new chip as a whole new board would cost, but if someone were flush with time and had money to burn... It's theoretically possible, I just don't know how many people have ever actually bothered to do it.
I am using XP Pro and in the past 7 years have been forced to purchase 3 new bundle packages due to the video portion going out. Is it feasible to bypass the built in video and add another card without purchasing a new one? The remaining board appears to function properly.