With current limited to very low levels, they can survive, because of the intrinsic diode structures. But these diode structures can't stand much current. A few mA tops, typical. Of course, when the whole power is reversed, these diodes act in parallel and can take a bit more. Still, usually, if you just have a constant voltage supply that can supply amperes, the chips are almost 100% surely damaged.
Sometimes, the damage is invisible: some operating parameter changes, possibly only slightly outside the spec. So if it looks operational, you can later spend weeks debugging some strange issue due to this! I have learned the hard way always to replace the ICs when I suspect damage (for example, FET drivers when the FET blows short, even if the driver looks operational).