Can you drive with a broken sway bar linkage?
As long as you keep your speed down and don't take turns too quickly, you should be safe driving until you can have it replaced. Note that a broken sway bar doesn't make your car “un-driveable”. via
How does a sway bar link break?
Why Would a Sway Bar Link Break? In most instances, sway bar links simply wear out due to time, miles, and use. But the links can also break due to rust and corrosion, or metal fatigue. It's also possible for worn control arm or sway bar bushings to over-extend the links, causing them to break. via