Does this type of Dual Voltage AC Drive exist?
It seems unlikely that you will find such a VFD, but it may be worthwhile to look carefully at the protection specifications and setting ranges if the UV and OV protections can be set by the user. The cost of the 400 V class models is sufficiently more than the cost of the 200 V class. That would make 400 V class products designed to accommodate 200 V class operation non-competitive in the market. Manufacturers are not going to offer products that are not competitive. Even if it costs little to make a 400 V VFD capable of operating in the lower range, manufacturers would not be likely to do it. However there may be a market for VFDs that can tolerate extreme voltage dips. So some manufacturers may have that capability that is not advertised as dual voltage capability.